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<body lang=EN-US link=blue vlink=purple style='tab-interval:.5in'>
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<div class=Section1>
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<h1>Encryption Block</h1>
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<h2><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>John
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Purba (</span><a href="mailto:john@students.ee.itb.ac.id">john@students.ee.itb.ac.id</a><span
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style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>)<o:p></o:p></span></h2>
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<p class=MsoNormal><![if !supportEmptyParas]> <![endif]><o:p></o:p></p>
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<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'>The encryption block comprises 6 blocks:<o:p></o:p></span></p>
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<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
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tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
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mso-bidi-font-size:12.0pt'>-<span style='font:7.0pt "Times New Roman"'>
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</span></span><![endif]><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'>Data & Key Input Register, interface of input data and
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key<o:p></o:p></span></p>
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<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
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tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
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mso-bidi-font-size:12.0pt'>-<span style='font:7.0pt "Times New Roman"'>
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</span></span><![endif]><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'>Key Expander, generator the round key<o:p></o:p></span></p>
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<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
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tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
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mso-bidi-font-size:12.0pt'>-<span style='font:7.0pt "Times New Roman"'>
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</span></span><![endif]><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'>Control, controls each block <o:p></o:p></span></p>
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<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
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tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
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mso-bidi-font-size:12.0pt'>-<span style='font:7.0pt "Times New Roman"'>
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</span></span><![endif]><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'>Rijndael Alg, implements Rijndael algorithm (round
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calculations)<o:p></o:p></span></p>
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<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
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tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
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mso-bidi-font-size:12.0pt'>-<span style='font:7.0pt "Times New Roman"'>
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</span></span><![endif]><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'>Data Output Register, interface of output data<o:p></o:p></span></p>
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<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
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<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
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font-family:Arial'>The RTL VHDL code can be downloaded here <a
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href="enkrip_files\enkrip.zip"><span style='font-size:12.0pt;font-family:"Times New Roman"'>enkrip.zip</span></a><o:p></o:p></span></p>
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<p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span
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style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>The
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encryption algorithm has been designed this way that the generation of round
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key and the round calculations can be parallely executed. </span><span
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style='font-size:10.0pt;font-family:Arial'>The advantage of this design is the
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fact that we do not need to store the round key since they are currently
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calculated. Interconnection of each block is depicted in figure 1.<o:p></o:p></span></p>
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height:96px'><a href="#Rijndael_alg"><img border=0 width=120 height=96
|
| 268 |
|
|
src="./enkrip_files/image004.gif" v:shapes="_x0000_s1028"></a></span><![endif]><!--[if gte vml 1]><v:rect
|
| 269 |
|
|
id="_x0000_s1027" href="#Key_Expander" style='position:absolute;left:0;
|
| 270 |
|
|
text-align:left;margin-left:163.5pt;margin-top:123.05pt;width:90pt;height:1in;
|
| 271 |
|
|
z-index:2;mso-position-horizontal:absolute;mso-position-vertical:absolute'
|
| 272 |
|
|
o:button="t" filled="f" stroked="f">
|
| 273 |
|
|
<v:fill o:detectmouseclick="t"/>
|
| 274 |
|
|
</v:rect><![endif]--><![if !vml]><span style='mso-ignore:vglayout;position:
|
| 275 |
|
|
absolute;z-index:1;left:0px;margin-left:218px;margin-top:164px;width:120px;
|
| 276 |
|
|
height:96px'><a href="#Key_Expander"><img border=0 width=120 height=96
|
| 277 |
|
|
src="./enkrip_files/image005.gif" v:shapes="_x0000_s1027"></a></span><![endif]><!--[if gte vml 1]><v:shapetype
|
| 278 |
|
|
id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t"
|
| 279 |
|
|
path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f">
|
| 280 |
|
|
<v:stroke joinstyle="miter"/>
|
| 281 |
|
|
<v:formulas>
|
| 282 |
|
|
<v:f eqn="if lineDrawn pixelLineWidth 0"/>
|
| 283 |
|
|
<v:f eqn="sum @0 1 0"/>
|
| 284 |
|
|
<v:f eqn="sum 0 0 @1"/>
|
| 285 |
|
|
<v:f eqn="prod @2 1 2"/>
|
| 286 |
|
|
<v:f eqn="prod @3 21600 pixelWidth"/>
|
| 287 |
|
|
<v:f eqn="prod @3 21600 pixelHeight"/>
|
| 288 |
|
|
<v:f eqn="sum @0 0 1"/>
|
| 289 |
|
|
<v:f eqn="prod @6 1 2"/>
|
| 290 |
|
|
<v:f eqn="prod @7 21600 pixelWidth"/>
|
| 291 |
|
|
<v:f eqn="sum @8 21600 0"/>
|
| 292 |
|
|
<v:f eqn="prod @7 21600 pixelHeight"/>
|
| 293 |
|
|
<v:f eqn="sum @10 21600 0"/>
|
| 294 |
|
|
</v:formulas>
|
| 295 |
|
|
<v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
|
| 296 |
|
|
<o:lock v:ext="edit" aspectratio="t"/>
|
| 297 |
|
|
</v:shapetype><v:shape id="_x0000_i1039" type="#_x0000_t75" style='width:539.25pt;
|
| 298 |
|
|
height:204.75pt' o:ole="">
|
| 299 |
|
|
<v:imagedata src="./enkrip_files/image006.wmz" o:title=""/>
|
| 300 |
|
|
</v:shape><![endif]--><![if !vml]><img border=0 width=719 height=273
|
| 301 |
|
|
src="./enkrip_files/image007.gif" v:shapes="_x0000_i1039"><![endif]><!--[if gte mso 9]><xml>
|
| 302 |
|
|
<o:OLEObject Type="Embed" ProgID="Visio.Drawing.5" ShapeID="_x0000_i1039"
|
| 303 |
|
|
DrawAspect="Content" ObjectID="_1086186387">
|
| 304 |
|
|
</o:OLEObject>
|
| 305 |
|
|
</xml><![endif]--></p>
|
| 306 |
|
|
|
| 307 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 308 |
|
|
style='font-family:Arial'>Figure 1<o:p></o:p></span></p>
|
| 309 |
|
|
|
| 310 |
|
|
<p class=MsoNormal align=center style='text-align:center'><a
|
| 311 |
|
|
name="Data_Kunci_Reg"><![if !supportEmptyParas]> <![endif]><o:p></o:p></a></p>
|
| 312 |
|
|
|
| 313 |
|
|
<p class=MsoNormal><span style='mso-bookmark:Data_Kunci_Reg'><span
|
| 314 |
|
|
style='font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>1. Data
|
| 315 |
|
|
& Key Input Register</span></span><span style='font-size:16.0pt;mso-bidi-font-size:
|
| 316 |
|
|
12.0pt;font-family:Arial'><o:p></o:p></span></p>
|
| 317 |
|
|
|
| 318 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 319 |
|
|
font-family:Arial'><span style='mso-tab-count:1'> </span>This block is
|
| 320 |
|
|
data or key input interface. The length of data or key supported is 128 bits,
|
| 321 |
|
|
so we can use the same design for data input and key input. This block will
|
| 322 |
|
|
take 32 bits data and shifts them to next register. Four clock cycle will be
|
| 323 |
|
|
needed to take a complete 128 bit data. A simple controller is used here to
|
| 324 |
|
|
identify that a complete of 128 bits data has been accepted. The State Diagram
|
| 325 |
|
|
of FSMInput and Data or Key Input Register is depicted in figure 2.<o:p></o:p></span></p>
|
| 326 |
|
|
|
| 327 |
|
|
<p class=MsoNormal align=center style='text-align:center'><!--[if gte vml 1]><v:shape
|
| 328 |
|
|
id="_x0000_i1095" type="#_x0000_t75" style='width:495pt;height:336.75pt'
|
| 329 |
|
|
o:ole="">
|
| 330 |
|
|
<v:imagedata src="./enkrip_files/image008.wmz" o:title=""/>
|
| 331 |
|
|
</v:shape><![endif]--><![if !vml]><img border=0 width=660 height=449
|
| 332 |
|
|
src="./enkrip_files/image009.gif" v:shapes="_x0000_i1095"><![endif]><!--[if gte mso 9]><xml>
|
| 333 |
|
|
<o:OLEObject Type="Embed" ProgID="Visio.Drawing.5" ShapeID="_x0000_i1095"
|
| 334 |
|
|
DrawAspect="Content" ObjectID="_1086186388">
|
| 335 |
|
|
</o:OLEObject>
|
| 336 |
|
|
</xml><![endif]--></p>
|
| 337 |
|
|
|
| 338 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 339 |
|
|
style='font-family:Arial'>Figure 2</span><span style='font-size:10.0pt;
|
| 340 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'><o:p></o:p></span></p>
|
| 341 |
|
|
|
| 342 |
|
|
<p class=MsoNormal><a name="Data_Reg"><span style='font-size:16.0pt;mso-bidi-font-size:
|
| 343 |
|
|
12.0pt;font-family:Arial'>2. Data Output Register</span></a><span
|
| 344 |
|
|
style='font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'><o:p></o:p></span></p>
|
| 345 |
|
|
|
| 346 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 347 |
|
|
font-family:Arial'><span style='mso-tab-count:1'> </span>This block
|
| 348 |
|
|
takes 128 bit block data to output. First one block of 128 bits is divided to 4
|
| 349 |
|
|
blocks of 32 bits. One block of 32 bits data is take to output every one clock cycle.
|
| 350 |
|
|
Data output register is depicted in figure 3.<o:p></o:p></span></p>
|
| 351 |
|
|
|
| 352 |
|
|
<p class=MsoNormal align=center style='text-align:center'><!--[if gte vml 1]><v:shape
|
| 353 |
|
|
id="_x0000_i1065" type="#_x0000_t75" style='width:463.5pt;height:189pt' o:ole="">
|
| 354 |
|
|
<v:imagedata src="./enkrip_files/image010.wmz" o:title=""/>
|
| 355 |
|
|
</v:shape><![endif]--><![if !vml]><img border=0 width=618 height=252
|
| 356 |
|
|
src="./enkrip_files/image011.gif" v:shapes="_x0000_i1065"><![endif]><!--[if gte mso 9]><xml>
|
| 357 |
|
|
<o:OLEObject Type="Embed" ProgID="Visio.Drawing.5" ShapeID="_x0000_i1065"
|
| 358 |
|
|
DrawAspect="Content" ObjectID="_1086186389">
|
| 359 |
|
|
</o:OLEObject>
|
| 360 |
|
|
</xml><![endif]--></p>
|
| 361 |
|
|
|
| 362 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 363 |
|
|
style='font-family:Arial'>Figure 3</span><span style='font-size:10.0pt;
|
| 364 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'><o:p></o:p></span></p>
|
| 365 |
|
|
|
| 366 |
|
|
<p class=MsoNormal><a name=Control><span style='font-size:16.0pt;mso-bidi-font-size:
|
| 367 |
|
|
12.0pt;font-family:Arial'>3. Control</span></a><span style='font-size:16.0pt;
|
| 368 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'><o:p></o:p></span></p>
|
| 369 |
|
|
|
| 370 |
|
|
<p class=MsoBodyText><span style='mso-tab-count:1'> </span>The
|
| 371 |
|
|
Control block controls the Key Expander and Rijndael Alg block. The state
|
| 372 |
|
|
diagram of Control block is depicted in figure 4.</p>
|
| 373 |
|
|
|
| 374 |
|
|
<p class=MsoNormal align=center style='text-align:center'><!--[if gte vml 1]><v:shape
|
| 375 |
|
|
id="_x0000_i1136" type="#_x0000_t75" style='width:192pt;height:324pt' o:ole="">
|
| 376 |
|
|
<v:imagedata src="./enkrip_files/image012.wmz" o:title=""/>
|
| 377 |
|
|
</v:shape><![endif]--><![if !vml]><img border=0 width=256 height=432
|
| 378 |
|
|
src="./enkrip_files/image013.gif" v:shapes="_x0000_i1136"><![endif]><!--[if gte mso 9]><xml>
|
| 379 |
|
|
<o:OLEObject Type="Embed" ProgID="Visio.Drawing.5" ShapeID="_x0000_i1136"
|
| 380 |
|
|
DrawAspect="Content" ObjectID="_1086186390">
|
| 381 |
|
|
</o:OLEObject>
|
| 382 |
|
|
</xml><![endif]--><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 383 |
|
|
font-family:Arial'><o:p></o:p></span></p>
|
| 384 |
|
|
|
| 385 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 386 |
|
|
style='font-family:Arial'>Figure 4<o:p></o:p></span></p>
|
| 387 |
|
|
|
| 388 |
|
|
<p class=MsoNormal><a name="Key_Expander"><span style='font-size:16.0pt;
|
| 389 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'>4. Key Expander<o:p></o:p></span></a></p>
|
| 390 |
|
|
|
| 391 |
|
|
<p class=MsoBodyText><span style='mso-bookmark:Key_Expander'><span
|
| 392 |
|
|
style='mso-tab-count:1'> </span>Key Expander responsible to generate
|
| 393 |
|
|
round key for every round from the initial key. Based on the algorithm
|
| 394 |
|
|
specification, if we use 128-bit key, 10 rounds will be needed. Hence the Key
|
| 395 |
|
|
Expander will generate 10 round keys. The Key Expander is depicted in figure 5.
|
| 396 |
|
|
</span></p>
|
| 397 |
|
|
|
| 398 |
|
|
<span style='mso-bookmark:Key_Expander'></span>
|
| 399 |
|
|
|
| 400 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 401 |
|
|
font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 402 |
|
|
|
| 403 |
|
|
<p class=MsoNormal align=center style='text-align:center'><![if !supportEmptyParas]> <![endif]><o:p></o:p></p>
|
| 404 |
|
|
|
| 405 |
|
|
<p class=MsoNormal align=center style='text-align:center'><!--[if gte vml 1]><v:shape
|
| 406 |
|
|
id="_x0000_i1124" type="#_x0000_t75" style='width:307.5pt;height:252pt' o:ole="">
|
| 407 |
|
|
<v:imagedata src="./enkrip_files/image014.wmz" o:title=""/>
|
| 408 |
|
|
</v:shape><![endif]--><![if !vml]><img border=0 width=410 height=336
|
| 409 |
|
|
src="./enkrip_files/image015.gif" v:shapes="_x0000_i1124"><![endif]><!--[if gte mso 9]><xml>
|
| 410 |
|
|
<o:OLEObject Type="Embed" ProgID="Visio.Drawing.5" ShapeID="_x0000_i1124"
|
| 411 |
|
|
DrawAspect="Content" ObjectID="_1086186391">
|
| 412 |
|
|
</o:OLEObject>
|
| 413 |
|
|
</xml><![endif]--></p>
|
| 414 |
|
|
|
| 415 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 416 |
|
|
style='font-family:Arial'>Figure 5<o:p></o:p></span></p>
|
| 417 |
|
|
|
| 418 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 419 |
|
|
style='font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 420 |
|
|
|
| 421 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 422 |
|
|
font-family:Arial'>The Blok Alg implements the XOR operations and RotByte function.
|
| 423 |
|
|
Kontroler Internal controls the Key Expander and its state diagram illustrated
|
| 424 |
|
|
in figure 6. The ByteSub block is the same as ByteSub for Rijndael Alg Block.<o:p></o:p></span></p>
|
| 425 |
|
|
|
| 426 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 427 |
|
|
font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 428 |
|
|
|
| 429 |
|
|
<h3>State Diagram of Kontroler Internal</h3>
|
| 430 |
|
|
|
| 431 |
|
|
<p class=MsoNormal align=center style='text-align:center'><!--[if gte vml 1]><v:shape
|
| 432 |
|
|
id="_x0000_i1113" type="#_x0000_t75" style='width:399pt;height:228pt' o:ole="">
|
| 433 |
|
|
<v:imagedata src="./enkrip_files/image016.wmz" o:title=""/>
|
| 434 |
|
|
</v:shape><![endif]--><![if !vml]><img border=0 width=532 height=304
|
| 435 |
|
|
src="./enkrip_files/image017.gif" v:shapes="_x0000_i1113"><![endif]><!--[if gte mso 9]><xml>
|
| 436 |
|
|
<o:OLEObject Type="Embed" ProgID="Visio.Drawing.5" ShapeID="_x0000_i1113"
|
| 437 |
|
|
DrawAspect="Content" ObjectID="_1086186392">
|
| 438 |
|
|
</o:OLEObject>
|
| 439 |
|
|
</xml><![endif]--></p>
|
| 440 |
|
|
|
| 441 |
|
|
<p class=MsoNormal align=center style='text-align:center'><![if !supportEmptyParas]> <![endif]><o:p></o:p></p>
|
| 442 |
|
|
|
| 443 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 444 |
|
|
style='font-family:Arial'>Figure 6</span><span style='font-size:10.0pt;
|
| 445 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'><o:p></o:p></span></p>
|
| 446 |
|
|
|
| 447 |
|
|
<p class=MsoNormal><a name="Rijndael_alg"><span style='font-size:16.0pt;
|
| 448 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'>5. Rijndael Alg</span></a><span
|
| 449 |
|
|
style='font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'><o:p></o:p></span></p>
|
| 450 |
|
|
|
| 451 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 452 |
|
|
font-family:Arial'><span style='mso-tab-count:1'> </span>The
|
| 453 |
|
|
implementation of Rijndael Alg has been designed this way that it can work as
|
| 454 |
|
|
the initial round, standard round, and final round. The Rijndael Alg module is
|
| 455 |
|
|
depicted in figure 7. <o:p></o:p></span></p>
|
| 456 |
|
|
|
| 457 |
|
|
<p class=MsoNormal align=center style='text-align:center'><!--[if gte vml 1]><v:shape
|
| 458 |
|
|
id="_x0000_i1046" type="#_x0000_t75" style='width:508.5pt;height:176.25pt'
|
| 459 |
|
|
o:ole="">
|
| 460 |
|
|
<v:imagedata src="./enkrip_files/image018.wmz" o:title=""/>
|
| 461 |
|
|
</v:shape><![endif]--><![if !vml]><img border=0 width=678 height=235
|
| 462 |
|
|
src="./enkrip_files/image019.gif" v:shapes="_x0000_i1046"><![endif]><!--[if gte mso 9]><xml>
|
| 463 |
|
|
<o:OLEObject Type="Embed" ProgID="Visio.Drawing.5" ShapeID="_x0000_i1046"
|
| 464 |
|
|
DrawAspect="Content" ObjectID="_1086186393">
|
| 465 |
|
|
</o:OLEObject>
|
| 466 |
|
|
</xml><![endif]--></p>
|
| 467 |
|
|
|
| 468 |
|
|
<p class=MsoNormal align=center style='text-align:center'><span
|
| 469 |
|
|
style='font-family:Arial'>Figure 7<o:p></o:p></span></p>
|
| 470 |
|
|
|
| 471 |
|
|
<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
|
| 472 |
|
|
tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
|
| 473 |
|
|
mso-bidi-font-size:12.0pt;mso-bidi-font-weight:bold'>-<span style='font:7.0pt "Times New Roman"'>
|
| 474 |
|
|
</span></span><![endif]><b><span style='font-size:10.0pt;mso-bidi-font-size:
|
| 475 |
|
|
12.0pt;font-family:Arial'>Mux21<o:p></o:p></span></b></p>
|
| 476 |
|
|
|
| 477 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 478 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'>Mux21 is a simple multiplexer 2 to
|
| 479 |
|
|
1. The format of data (din_i) is changed in this block, a block 128 bits sequence
|
| 480 |
|
|
to matrix 4x4 called State, as it is easier to design another blocks
|
| 481 |
|
|
(AddRoundKey, ByteSub, ShiftRow. MixColumn) <o:p></o:p></span></p>
|
| 482 |
|
|
|
| 483 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 484 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 485 |
|
|
|
| 486 |
|
|
<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
|
| 487 |
|
|
tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
|
| 488 |
|
|
mso-bidi-font-size:12.0pt;mso-bidi-font-weight:bold'>-<span style='font:7.0pt "Times New Roman"'>
|
| 489 |
|
|
</span></span><![endif]><b><span style='font-size:10.0pt;mso-bidi-font-size:
|
| 490 |
|
|
12.0pt;font-family:Arial'>AddRoundKey<o:p></o:p></span></b></p>
|
| 491 |
|
|
|
| 492 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 493 |
|
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mso-bidi-font-size:12.0pt;font-family:Arial'>Implements AddRoundKey transformation,
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| 494 |
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a simple XOR between State and round key. <o:p></o:p></span></p>
|
| 495 |
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|
|
| 496 |
|
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<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 497 |
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mso-bidi-font-size:12.0pt;font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 498 |
|
|
|
| 499 |
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<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
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| 500 |
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tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
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| 501 |
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mso-bidi-font-size:12.0pt;mso-bidi-font-weight:bold'>-<span style='font:7.0pt "Times New Roman"'>
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| 502 |
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</span></span><![endif]><b><span style='font-size:10.0pt;mso-bidi-font-size:
|
| 503 |
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12.0pt;font-family:Arial'>ByteSub<o:p></o:p></span></b></p>
|
| 504 |
|
|
|
| 505 |
|
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<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 506 |
|
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mso-bidi-font-size:12.0pt;font-family:Arial'>Implements ByteSub transformation,
|
| 507 |
|
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contains 16 S-Box working in parallel. Dual Port Block RAM will be used to implements
|
| 508 |
|
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2 S-Box, which emulate the ROM memory with configuration of 256x8 bits.<o:p></o:p></span></p>
|
| 509 |
|
|
|
| 510 |
|
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<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 511 |
|
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mso-bidi-font-size:12.0pt;font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 512 |
|
|
|
| 513 |
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<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
|
| 514 |
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tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
|
| 515 |
|
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mso-bidi-font-size:12.0pt;mso-bidi-font-weight:bold'>-<span style='font:7.0pt "Times New Roman"'>
|
| 516 |
|
|
</span></span><![endif]><b><span style='font-size:10.0pt;mso-bidi-font-size:
|
| 517 |
|
|
12.0pt;font-family:Arial'>ShiftRow<o:p></o:p></span></b></p>
|
| 518 |
|
|
|
| 519 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 520 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'>Implements ShiftRow transformation.
|
| 521 |
|
|
The position of bytes in State will shifted cyclical by offsets. The first row
|
| 522 |
|
|
is shifted by zero, the second row is shifter by one, the third row is shifted
|
| 523 |
|
|
by two, and the fourth row is shifted by three. The implementation is realized
|
| 524 |
|
|
by hardwiring and do not need gate resource.<o:p></o:p></span></p>
|
| 525 |
|
|
|
| 526 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 527 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 528 |
|
|
|
| 529 |
|
|
<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
|
| 530 |
|
|
tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
|
| 531 |
|
|
mso-bidi-font-size:12.0pt;mso-bidi-font-weight:bold'>-<span style='font:7.0pt "Times New Roman"'>
|
| 532 |
|
|
</span></span><![endif]><b><span style='font-size:10.0pt;mso-bidi-font-size:
|
| 533 |
|
|
12.0pt;font-family:Arial'>MixColumn<o:p></o:p></span></b></p>
|
| 534 |
|
|
|
| 535 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 536 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'>Implements MixColumn transformation.
|
| 537 |
|
|
The columns of State are viewed as the coefficients of polynomial over GF (2<sup>8</sup>)
|
| 538 |
|
|
of degree smaller than three. This polynomial is multiplied by four terms fixed
|
| 539 |
|
|
polynomial a(x), {03)x<sup>3</sup> + {01}x<sup>2</sup> + {01}x + {02}, modulo
|
| 540 |
|
|
the polynomial x<sup>4</sup> + 1.The multiplication with four terms fixed
|
| 541 |
|
|
polynomial can be simplified by using the matrix form. The implementation of
|
| 542 |
|
|
this transformation can be realized as shift and XOR operations.<o:p></o:p></span></p>
|
| 543 |
|
|
|
| 544 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 545 |
|
|
font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 546 |
|
|
|
| 547 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 548 |
|
|
font-family:Arial'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
|
| 549 |
|
|
|
| 550 |
|
|
<h4><b>Implementation Result<o:p></o:p></b></h4>
|
| 551 |
|
|
|
| 552 |
|
|
<p class=MsoNormal><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 553 |
|
|
font-family:Arial'><span style='mso-tab-count:1'> </span>The
|
| 554 |
|
|
encryption algorithm has been implemented to FPGA Xilinx Virtex V300PQ240. It
|
| 555 |
|
|
has 20 Dual Port Block RAM to implement to ByteSub transformation. The
|
| 556 |
|
|
implementation parameters are:<o:p></o:p></span></p>
|
| 557 |
|
|
|
| 558 |
|
|
<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
|
| 559 |
|
|
tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
|
| 560 |
|
|
mso-bidi-font-size:12.0pt'>-<span style='font:7.0pt "Times New Roman"'>
|
| 561 |
|
|
</span></span><![endif]><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 562 |
|
|
font-family:Arial'>Speed<o:p></o:p></span></p>
|
| 563 |
|
|
|
| 564 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 565 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'>The maximum frequency is 51 MHz
|
| 566 |
|
|
corresponds to throughput 298,899 Mbps.<o:p></o:p></span></p>
|
| 567 |
|
|
|
| 568 |
|
|
<p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo1;
|
| 569 |
|
|
tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt;
|
| 570 |
|
|
mso-bidi-font-size:12.0pt'>-<span style='font:7.0pt "Times New Roman"'>
|
| 571 |
|
|
</span></span><![endif]><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
|
| 572 |
|
|
font-family:Arial'>Area<o:p></o:p></span></p>
|
| 573 |
|
|
|
| 574 |
|
|
<p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt;
|
| 575 |
|
|
mso-bidi-font-size:12.0pt;font-family:Arial'>The design required 666 slices<o:p></o:p></span></p>
|
| 576 |
|
|
|
| 577 |
|
|
</div>
|
| 578 |
|
|
|
| 579 |
|
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</body>
|
| 580 |
|
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|
| 581 |
|
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</html>
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