The Museum of HP Calculators


AES (Advanced Encryption Standard) for the HP-42S

This program is by Brett Stevens and is used here by permission.

This program is supplied without representation or warranty of any kind. Brett Stevens and The Museum of HP Calculators therefore assume no responsibility and shall have no liability, consequential or otherwise, of any kind arising from the use of this program material or any part thereof.

Overview

AN implementation of the Andvanced Encryption Standard for the HP-42S calkculator

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
Phone: (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:

Listing

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

License for "AES (advanced Encryption Standard) for the HP-42S"

The following license applies only to the "AES (advanced Encryption Standard) for the HP-42S" program listed above. It does not apply to other pages and programs on this website, except where specifically indicated.

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.

Preamble

The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. This General Public License applies to most of the Free Software Foundation's software and to any other program whose authors commit to using it. (Some other Free Software Foundation software is covered by the GNU Library General Public License instead.) You can apply it to your programs, too.

When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for this service if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs; and that you know you can do these things.

To protect your rights, we need to make restrictions that forbid anyone to deny you these rights or to ask you to surrender the rights. These restrictions translate to certain responsibilities for you if you distribute copies of the software, or if you modify it.

For example, if you distribute copies of such a program, whether gratis or for a fee, you must give the recipients all the rights that you have. You must make sure that they, too, receive or can get the source code. And you must show them these terms so they know their rights.

We protect your rights with two steps: (1) copyright the software, and (2) offer you this license which gives you legal permission to copy, distribute and/or modify the software.

Also, for each author's protection and ours, we want to make certain that everyone understands that there is no warranty for this free software. If the software is modified by someone else and passed on, we want its recipients to know that what they have is not the original, so that any problems introduced by others will not reflect on the original authors' reputations.

Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all.

The precise terms and conditions for copying, distribution and modification follow.

GNU GENERAL PUBLIC LICENSE

TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION

0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you".

Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does.

1. You may copy and distribute verbatim copies of the Program's source code as you receive it, in any medium, provided that you conspicuously and appropriately publish on each copy an appropriate copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and to the absence of any warranty; and give any other recipients of the Program a copy of this License along with the Program.

You may charge a fee for the physical act of transferring a copy, and you may at your option offer warranty protection in exchange for a fee.

2. You may modify your copy or copies of the Program or any portion of it, thus forming a work based on the Program, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions:

a) You must cause the modified files to carry prominent notices stating that you changed the files and the date of any change.

b) You must cause any work that you distribute or publish, that in whole or in part contains or is derived from the Program or any part thereof, to be licensed as a whole at no charge to all third parties under the terms of this License.

c) If the modified program normally reads commands interactively when run, you must cause it, when started running for such interactive use in the most ordinary way, to print or display an announcement including an appropriate copyright notice and a notice that there is no warranty (or else, saying that you provide a warranty) and that users may redistribute the program under these conditions, and telling the user how to view a copy of this License. (Exception: if the Program itself is interactive but does not normally print such an announcement, your work based on the Program is not required to print an announcement.)

These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived from the Program, and can be reasonably considered independent and separate works in themselves, then this License, and its terms, do not apply to those sections when you distribute them as separate works. But when you distribute the same sections as part of a whole which is a work based on the Program, the distribution of the whole must be on the terms of this License, whose permissions for other licensees extend to the entire whole, and thus to each and every part regardless of who wrote it.

Thus, it is not the intent of this section to claim rights or contest your rights to work written entirely by you; rather, the intent is to exercise the right to control the distribution of derivative or collective works based on the Program.

In addition, mere aggregation of another work not based on the Program with the Program (or with a work based on the Program) on a volume of a storage or distribution medium does not bring the other work under the scope of this License.

3. You may copy and distribute the Program (or a work based on it, under Section 2) in object code or executable form under the terms of Sections 1 and 2 above provided that you also do one of the following:

a) Accompany it with the complete corresponding machine-readable source code, which must be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or,

b) Accompany it with a written offer, valid for at least three years, to give any third party, for a charge no more than your cost of physically performing source distribution, a complete machine-readable copy of the corresponding source code, to be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or,

c) Accompany it with the information you received as to the offer to distribute corresponding source code. (This alternative is allowed only for noncommercial distribution and only if you received the program in object code or executable form with such an offer, in accord with Subsection b above.)

The source code for a work means the preferred form of the work for making modifications to it. For an executable work, complete source code means all the source code for all modules it contains, plus any associated interface definition files, plus the scripts used to control compilation and installation of the executable. However, as a special exception, the source code distributed need not include anything that is normally distributed (in either source or binary form) with the major components (compiler, kernel, and so on) of the operating system on which the executable runs, unless that component itself accompanies the executable.

If distribution of executable or object code is made by offering access to copy from a designated place, then offering equivalent access to copy the source code from the same place counts as distribution of the source code, even though third parties are not compelled to copy the source along with the object code.

4. You may not copy, modify, sublicense, or distribute the Program except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense or distribute the Program is void, and will automatically terminate your rights under this License. However, parties who have received copies, or rights, from you under this License will not have their licenses terminated so long as such parties remain in full compliance.

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6. Each time you redistribute the Program (or any work based on the Program), the recipient automatically receives a license from the original licensor to copy, distribute or modify the Program subject to these terms and conditions. You may not impose any further restrictions on the recipients' exercise of the rights granted herein. You are not responsible for enforcing compliance by third parties to this License.

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This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this License.

8. If the distribution and/or use of the Program is restricted in certain countries either by patents or by copyrighted interfaces, the original copyright holder who places the Program under this License may add an explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the body of this License.

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Each version is given a distinguishing version number. If the Program specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Program does not specify a version number of this License, you may choose any version ever published by the Free Software Foundation.

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NO WARRANTY

11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.

12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.

END OF TERMS AND CONDITIONS

How to Apply These Terms to Your New Programs

If you develop a new program, and you want it to be of the greatest possible use to the public, the best way to achieve this is to make it free software which everyone can redistribute and change under these terms.

To do so, attach the following notices to the program. It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found.

<one line to give the program's name and a brief idea of what it does.> Copyright (C) <year> <name of author>

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

Also add information on how to contact you by electronic and paper mail.

If the program is interactive, make it output a short notice like this when it starts in an interactive mode:

Gnomovision version 69, Copyright (C) year name of author
Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
This is free software, and you are welcome to redistribute it
under certain conditions; type `show c' for details.

The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program.

You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names:

Yoyodyne, Inc., hereby disclaims all copyright interest in the program
`Gnomovision' (which makes passes at compilers) written by James Hacker.
<signature of Ty Coon>, 1 April 1989
Ty Coon, President of Vice

This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Library General Public License instead of this License.

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