What follows is a description of how to implement the AES (Rijndael) ciphersystem on the HP42S. Copyright 2001 Brett Stevens School of Mathematics and Statistics Carleton University 1125 Colonel By Dr. Ottawa ON K1S 5B6 Canada (613) 520-2600 x2125 FAX: (613) 520-3536 brett@math.carleton.ca http://mathstat.carleton.ca/~brett/ This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Set SIZE to 154 place the following numbers in registers 00-63 2071428195 3312413682 728170800 1990973438 2110358218 4031207930 2946684077 3228738716 647232951 3438755638 4058359092 355588209 3273901828 2584057368 3800044039 1974609899 439124745 2690280987 3017161554 2217730857 3976253779 1538391072 968805226 3478670410 4222283728 2234731843 2130901317 2829007952 2403378001 4114128274 567981756 3539205904 3960671437 390371167 1031710660 1931042148 3696197984 2291149346 347663942 3674955486 171586272 1545864777 1655493570 2045023633 1832372455 2840515981 3941881452 145652325 774207674 3333727772 527752680 2324413771 1723154032 251003720 3109500257 2652750214 295237857 2492389737 3917946523 3743962574 227123596 1749214911 254646593 381375664 place the following numbers in registers 90 through 153 3580496210 950351408 2661499071 4225233793 2184831868 2281648027 1145278004 3421101764 848591700 1025753766 194333934 1321466434 1721839112 2988759336 1235377014 634489709 1693907058 379086982 3428623572 2461427037 1346924652 3669618173 1464210782 2224917927 11262096 181648524 89711863 105231288 2401119440 34553802 62762945 1804210945 1091670330 3940312911 3469734551 1944499440 578071702 2234887655 3895982562 1860138268 1897591111 2311399709 241350511 465442986 1262376700 544854726 4274051994 4099591544 866704671 835127176 1494225585 1609334823 2843693408 222999833 2675631405 4020029843 1295769760 2968857262 1018948552 1637438339 2114202391 651589562 1662282209 2097946965 the following are the encryption and decryuption programs and their procedures: LBL "RJN" 1 STO 88 0 STO 89 72.075 STO 81 LBL 01 RCL 81 IP RCL IND ST X RCL 81 IP 4 + Rv STO IND ST T ISG 81 GTO 01 XEQ "AKR" XEQ "EXK" 0.008 STO 86 LBL 02 XEQ "SBX" XEQ "SHR" XEQ "MXC" XEQ "AKR" XEQ "EXK" ISG 86 GTO 02 XEQ "SBX" XEQ "SHR" XEQ "AKR" 68.071 STO 88 0 LBL 03 RCL 88 IP Rv STO IND ST T ISG 88 GTO 03 76.087 STO 88 0 LBL 04 RCL 88 IP Rv STO IND ST T ISG 88 GTO 04 0 STO 88 STO 89 CLST END LBL "AKR" 0.003 STO 84 LBL 01 RCL 84 IP 64 + RCL IND ST X RCL 84 IP 76 + Rv RCL IND ST T XOR STO IND ST Y ISG 84 GTO 01 END LBL "EXK" 0.003 STO 84 LBL 02 RCL 84 IP 80 + STO 87 1 - RCL IND ST X STO 68 RCL 87 4 MOD X=0? XEQ 03 RCL 87 4 - RCL IND ST X RCL 68 XOR RCL 87 4 - Rv STO IND ST T RCL 87 Rv STO IND ST T ISG 84 GTO 02 RTN LBL 03 RCL 68 255 AND -24 ROTXY STO 69 RCL 68 8 ROTXY 16777215 AND RCL 69 XOR STO 68 0 STO 69 0.003 STO 85 LBL 04 RCL 68 255 RCL 85 IP 8 x STO 70 +/- ROTXY AND RCL 70 ROTXY XEQ "LKP" RCL 70 +/- ROTXY RCL 69 XOR STO 69 ISG 85 GTO 04 RCL 69 RCL 88 XOR STO 68 RCL 88 -1 ROTXY 8 BIT? XEQ 05 Rv 255 AND STO 88 RTN LBL 05 Rv 27 XOR ENTER RTN END LBL "IXK" 0.003 STO 84 LBL 01 RCL 84 IP 76 + RCL IND ST X RCL 84 IP 80 + Rv STO IND ST T ISG 84 GTO 01 0 STO 89 0.003 STO 84 LBL 02 79 RCL 84 IP - STO 87 3 + RCL IND ST X STO 68 RCL 87 4 MOD X=0? XEQ 03 RCL 87 4 + RCL IND ST X RCL 68 XOR RCL 87 Rv STO IND ST T ISG 84 GTO 02 90 STO 89 RTN LBL 03 RCL 68 255 AND -24 ROTXY STO 69 RCL 68 8 ROTXY 16777215 AND RCL 69 XOR STO 68 0 STO 69 0.003 STO 85 LBL 04 RCL 68 255 RCL 85 IP 8 x STO 70 +/- ROTXY AND RCL 70 ROTXY XEQ "LKP" RCL 70 +/- ROTXY RCL 69 XOR STO 69 ISG 85 GTO 04 RCL 69 RCL 88 XOR STO 68 RCL 88 1 ROTXY 35 BIT? XEQ 05 Rv 255 AND STO 88 RTN LBL 05 Rv -34359738227 XOR ENTER RTN END LB "MXC" 0.003 STO 80 LBL 01 0 STO 82 64 RCL 80 IP + STO 69 RCL IND 69 65535 -16 ROTXY AND 16 ROTXY RCL IND 69 XOR ENTER ENTER 255 -8 ROTXY AND 8 ROTXY XOR 255 AND STO 68 0.003 STO 81 LBL 02 RCL 81 IP 8 x STO 71 RCL IND 69 255 RCL 71 +/- ROTXY AND RCL 71 ROTXY STO 70 RCL IND 69 255 RCL 71 8 + 32 MOD +/- ROTXY AND RCL 71 8 + 32 MOD ROTXY RCL 70 XOR XEQ 03 RCL 68 XOR RCL 70 XOR RCL 71 +/- ROTXY RCL 82 XOR STO 82 ISG 81 GTO 02 RCL 82 STO IND 69 ISG 80 GTO 01 0 STO 69 STO 68 STO 70 STO 82 RTN LBL 03 -1 ROTXY 8 BIT? XEQ 04 Rv 255 AND RTN LBL 04 Rv 27 XOR ENTER RTN END LB "IMXC" 0.003 STO 80 LBL 01 0 STO 82 64 RCL 80 IP + STO 69 RCL IND 69 4294901760 AND 16 ROTXY RCL IND 69 XOR ENTER ENTER 65280 AND 8 ROTXY XOR 255 AND STO 68 XEQ 03 XEQ 03 XEQ 03 RCL 68 XOR STO 68 0.003 STO 81 LBL 02 RCL 81 IP 8 x STO 71 RCL IND 69 255 RCL 71 +/- ROTXY AND RCL 71 ROTXY STO 70 RCL IND 69 255 RCL 71 16 + 32 MOD +/- ROTXY AND RCL 71 16 + 32 MOD ROTXY RCL 70 XOR XEQ 03 STO 70 RCL IND 69 255 RCL 71 +/- ROTXY AND RCL 71 ROTXY RCL 70 XOR STO 70 RCL IND 69 255 // ENTER ?? RCL 71 8 + 32 MOD +/- ROTXY AND RCL 71 8 + 32 MOD ROTXY RCL 70 XOR XEQ 03 RCL 68 XOR RCL IND 69 255 RCL 71 +/- ROTXY AND RCL 71 ROTXY XOR RCL 71 +/- ROTXY RCL 82 XOR STO 82 ISG 81 GTO 02 RCL 82 STO IND 69 ISG 80 GTO 01 0 STO 69 STO 68 STO 70 STO 82 RTN LBL 03 -1 ROTXY 8 BIT? XEQ 04 Rv 255 AND RTN LBL 04 Rv 27 XOR ENTER RTN END LBL "SHR" 0 STO 68 STO 69 STO 70 STO 71 0.003 STO 80 LBL 01 0.003 STO 81 LBL 02 RCL 80 RCL 81 + IP 4 MOD 64 + RCL IND ST X 255 RCL 81 IP 8 x +/- ROTXY AND RCL 80 IP 68 + STO 82 Rv RCL IND 82 XOR STO IND 82 ISG 81 GTO 02 ISG 80 GTO 01 0.003 STO 80 LBL 03 RCL 80 IP 64 + ENTER ENTER 4 + RCL IND ST X STO IND ST Z ISG 80 GTO 03 END LBL "SBX" 0.003 STO 80 LBL 01 0 STO 71 64 RCL 80 IP + STO 69 0.003 STO 81 LBL 02 RCL IND 69 255 RCL 81 IP 8 x STO 70 +/- ROTXY AND RCL 70 ROTXY XEQ "LKP" RCL 70 +/- ROTXY RCL 71 XOR STO 71 ISG 81 GTO 02 RCL 71 STO IND 69 ISG 80 GTO 01 END LBL "LKP" ENTER ENTER 4 MOD X<>Y 4 / IP RCL 89 + RCL IND ST X X<>Y Rv X<>Y 8 x STO ST Z 255 X<>Y +/- ROTXY AND X<>Y ROTXY END LBL "IRJN" 1 STO 88 90 STO 89 72.075 STO 81 LBL 01 RCL 81 IP RCL IND ST X RCL 81 IP 4 + Rv STO IND ST T ISG 81 GTO 01 0.009 STO 86 LBL 05 XEQ "EXK" ISG 86 GTO 05 54 STO 88 XEQ "AKR" XEQ "IXK" 0.008 STO 86 LBL 02 XEQ "SBX" XEQ "SHR" XEQ "SHR" XEQ "SHR" XEQ "ARK" XEQ "IXK" XEQ "IMXC" ISG 86 GTO 02 XEQ "SBX" XEQ "SHR" XEQ "SHR" XEQ "SHR" XEQ "AKR" 68.071 STO 88 0 LBL 03 RCL 88 IP Rv STO IND ST T ISG 88 GTO 03 76.087 STO 88 0 LBL 04 RCL 88 IP Rv STO IND ST T ISG 88 GTO 04 0 STO 88 STO 89 CLST END ---------------------------------------------------------------------------------------------------------------------------------------- GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc. 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. 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