| Title:
|
Verschlüsselungsabbildungen mit Pseudo-Inversen, Zufallsgeneratoren und Täfelungen (German) |
| Title:
|
Cryptographic mappings with pseudo-inverses, random-number generators and tessellations (English) |
| Author:
|
Gabriel, Richard |
| Language:
|
German |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
18 |
| Issue:
|
6 |
| Year:
|
1982 |
| Pages:
|
485-504 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05B45 |
| MSC:
|
15A09 |
| MSC:
|
65C10 |
| MSC:
|
68P25 |
| MSC:
|
94A05 |
| MSC:
|
94A11 |
| MSC:
|
94A60 |
| MSC:
|
94A99 |
| idZBL:
|
Zbl 0519.94004 |
| idMR:
|
MR707397 |
| . |
| Date available:
|
2009-09-24T17:30:43Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124857 |
| . |
| Reference:
|
[1 ] R. E. Cline: An Application of Representations for the Generalized Inverse of a Matrix.MRC Technical Report 592, 1965. |
| Reference:
|
[2] R. E. Cline: Note on an extension of the Moore-Penrose inverse.(submitted for publication). Zbl 0468.15003 |
| Reference:
|
[3] W. Diffie M. E. Hellman: New directions in cryptography.IEEE Trans. Inform. Theory IT-22 (1976), 644-654. MR 0437208 |
| Reference:
|
[4] M. P. Drazin: Pseudo-inverses in associate rings and semigroups.Amer. Math. Monthly 65 (1958), 506-514. MR 0098762 |
| Reference:
|
[5] R. Gabriel: Das verallgemeinerte Inverse, deren Elemente einem beliebligen Körper angehören.J. reine angew. Math. 234 (1969), 107-122; 244 (1970), 83-93. |
| Reference:
|
[6] R. Gabriel: Das verallgemeinerte Inverse einer Matrix über einem beliebigen Körper - mit Skelettzerlegungen berechnet.Rev. Roumaine Math. Pures Appl. XX 1975, 2, 213 - 225. Zbl 0314.15004, MR 0387298 |
| Reference:
|
[7] R. Gabriel: Eine Kollinearitatsbedingung für Involutionen in Gruppen und Algebren.J. reine angew. Math. 268 (1974), 20-49. MR 0344987 |
| Reference:
|
[8] R. Gabriel: Das verallgemeinerte Inverse in Algebren.Rev. Roumaine Math. Pures Appl. XX (1975), 3, 311-324. Zbl 0313.15006, MR 0387300 |
| Reference:
|
[9] R. Gabriel: Dreinachrichtenprobleme in verallgemeinerter Definition.J. reine angew. Math. 290 (1977), 199-202. MR 0689020 |
| Reference:
|
[10] R. Gabriel: Ein kryptographisches System definiert mit verallgemeinerten Inversen.Vorgetragen Univ. Bukarest, Dezember 1971. |
| Reference:
|
[11] R. Gabriel: Pseudoinversen mit Schlüssel und ein System der algebraischen Kryptographie.Rev. Roumaine Math. Pures Appl. XXII (1977), 8, 1077-1099. MR 0485912 |
| Reference:
|
[12] R. Gabriel: Über spektrale Pseudo-Inversen, Lineare Kryptographie und umkehrbare Zufallsgeneratoren.(in Druck). |
| Reference:
|
[13] R. Gabriel R. E. Hartwig: The Drazin inverse as a gradient.(submitted for publication). |
| Reference:
|
[14] R. E. Hartwig: Drazin inverses in cryptography.(submitted for publication). |
| Reference:
|
[15] E. Henze: Kryptographie und Nachrichtenübertragung.Informationsverarbeitung und Kommunikation, Band 8. |
| Reference:
|
[16] L. S. Hill: Cryptography in an algebraic alphabet.Amer. Math. Monthly 36 (1929), 306-312. MR 1521759 |
| Reference:
|
[17] B. Jansson: Random Number Generators.Almqvist - Wiksell, Stockholm 1966. Zbl 0173.45502, MR 0224253 |
| Reference:
|
[18] J. Levine R. E. Hartwig: Application of the Drazin Inverse to the Hill Cryptographic System, I, II, III, IV.Cryptologia (1980). MR 0561958 |
| Reference:
|
[19] J. Levine J. V. Brawley: Involutory commutants with some applications to algebraic cryptography, I.J. reine angew. Math. 224 (1966), 20-43; II. 227 (1967), 1 - 24. MR 0200089 |
| Reference:
|
[20] R. Penrose: A generalized inverse for matrices.Proc. Cambridge Philos. Soc. 51 (1958), 406-413. MR 0069793 |
| Reference:
|
[21] R. L. Rives A. Shamir L. Adleman: A method for obtaining digital signatures and public-key cryptosystems.Comm. ACM 21 (1978), 120-126. MR 0700103 |
| . |
