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[/] [mini_aes/] [trunk/] [source/] [mix_column.vhdl] - Rev 20
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-- $Id: mix_column.vhdl,v 1.1.1.1 2005-12-06 02:48:33 arif_endro Exp $ ------------------------------------------------------------------------------- -- Title : -- Project : Mini AES 128 ------------------------------------------------------------------------------- -- File : -- Author : "Arif E. Nugroho" <arif_endro@yahoo.com> -- Created : 2005/12/03 -- Last update : -- Simulators : ModelSim SE PLUS 6.0 -- Synthesizers: ISE Xilinx 6.3i -- Target : ------------------------------------------------------------------------------- -- Description : ------------------------------------------------------------------------------- -- Copyright (C) 2005 Arif Endro Nugroho ------------------------------------------------------------------------------- -- -- THIS SOURCE FILE MAY BE USED AND DISTRIBUTED WITHOUT RESTRICTION -- PROVIDED THAT THIS COPYRIGHT STATEMENT IS NOT REMOVED FROM THE FILE AND THAT -- ANY DERIVATIVE WORK CONTAINS THE ORIGINAL COPYRIGHT NOTICE AND THE -- ASSOCIATED DISCLAIMER. -- ------------------------------------------------------------------------------- -- -- THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR -- IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF -- MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO -- EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, -- SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; -- OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, -- WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR -- OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF -- ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -- ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use work.xtime_pkg.all; entity mix_column is port ( s0 : in std_logic_vector (07 downto 00); s1 : in std_logic_vector (07 downto 00); s2 : in std_logic_vector (07 downto 00); s3 : in std_logic_vector (07 downto 00); mix_col : out std_logic_vector (31 downto 00); inv_mix_col : out std_logic_vector (31 downto 00) ); end mix_column; architecture data_flow of mix_column is type state is array (03 downto 00) of std_logic_vector (07 downto 00); signal mc : state := ( X"00", X"00", X"00", X"00" ); begin -- -- MixColumn : a(x) = {03}x^3 + {01}x^2 + {01}x + {02} -- -- s'0c = | 02 03 01 01 | s0c -- s'1c = | 01 02 03 01 | s1c -- s'2c = | 01 01 02 03 | s2c -- s'3c = | 03 01 01 02 | s3c -- -- InvMixColumn: a'(x) = {0B}x^3 + {0D}x^2 + {09}x + {0E} -- a'(x) = {03}x^3 + {01}x^2 + {01}x + {02} + -- {08}x^3 + {08}x^2 + {08}x + {08} + -- {04}x^2 + {04}x -- a(x) * a'(x) = {01} -- a(x) * {a'(x)}^2 = {01} * a'(x) = a'(x) -- {a'(x)}^2 = {04}x^2 + {05} -- -- | 05 00 04 00 | | 0E 0B 0D 09 | E = 14 = 1110 = 8 xor 4 xor 2 = 1000 xor 0100 xor 0010 -- {a'(x)}^2 = | 00 05 00 04 | a'(x) = | 09 0E 0B 0D | D = 13 = 1101 = 8 xor 4 xor 1 = 1000 xor 0100 xor 0001 -- | 04 00 05 00 | | 0D 09 0E 0B | B = 11 = 1011 = 8 xor 2 xor 1 = 1000 xor 0010 xor 0001 -- | 00 04 00 05 | | 0B 0D 09 0E | 9 = 09 = 1001 = 8 xor 0 xor 1 = 1000 xor 0000 xor 0001 -- mc (3) <= xtime_2(s0) xor xtime_2(s1) xor s1 xor s2 xor s3; mc (2) <= s0 xor xtime_2(s1) xor xtime_2(s2) xor s2 xor s3; mc (1) <= s0 xor s1 xor xtime_2(s2) xor xtime_2(s3) xor s3; mc (0) <= xtime_2(s0) xor s0 xor s1 xor s2 xor xtime_2(s3); -- mix_col <= (mc(3) & mc(2) & mc(1) & mc(0)); -- inv_mix_col (31 downto 24) <= xtime_4(mc(3)) xor mc(3) xor xtime_4(mc(1)); inv_mix_col (23 downto 16) <= xtime_4(mc(2)) xor mc(2) xor xtime_4(mc(0)); inv_mix_col (15 downto 08) <= xtime_4(mc(1)) xor mc(1) xor xtime_4(mc(3)); inv_mix_col (07 downto 00) <= xtime_4(mc(0)) xor mc(0) xor xtime_4(mc(2)); -- -- inv_mix_col (31 downto 24) <= -- xtime_8(mc(3)) xor xtime_4(mc(3)) xor xtime_2(mc(3)) xor -- xtime_8(mc(2)) xor xtime_2(mc(2)) xor mc(2) xor -- xtime_8(mc(1)) xor xtime_4(mc(1)) xor mc(1) xor -- xtime_8(mc(0)) xor mc(0); -- inv_mix_col (23 downto 16) <= -- xtime_8(mc(3)) xor mc(3) xor -- xtime_8(mc(2)) xor xtime_4(mc(2)) xor xtime_2(mc(2)) xor -- xtime_8(mc(1)) xor xtime_2(mc(1)) xor mc(1) xor -- xtime_8(mc(0)) xor xtime_4(mc(0)) xor mc(0); -- inv_mix_col (15 downto 08) <= -- xtime_8(mc(3)) xor xtime_4(mc(3)) xor mc(3) xor -- xtime_8(mc(2)) xor mc(2) xor -- xtime_8(mc(1)) xor xtime_4(mc(1)) xor xtime_2(mc(1)) xor -- xtime_8(mc(0)) xor xtime_2(mc(0)) xor mc(0); -- inv_mix_col (07 downto 00) <= -- xtime_8(mc(3)) xor xtime_2(mc(3)) xor mc(3) xor -- xtime_8(mc(2)) xor xtime_4(mc(2)) xor mc(2) xor -- xtime_8(mc(1)) xor mc(1) xor -- xtime_8(mc(0)) xor xtime_4(mc(0)) xor xtime_2(mc(0)); end data_flow;
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