Accesso libero

LOGARITHMIC SIGNATURES FOR ABELIAN GROUPS AND THEIR FACTORIZATION

INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] BLACKBURN, S. R.-CID, C.-MULLAN, C.: Cryptanalysis of the MST3 public keycryptosystem, J. Math. Crypt. 3 (2009), 321-338.Search in Google Scholar

[2] LEMPKEN, W.-MAGLIVERAS, S. S.-TRAN VAN TRUNG-WEI, W.: A public keycryptosystem based on non-abelian finite groups, J. Cryptology 22 (2009), 62-74.10.1007/s00145-008-9033-ySearch in Google Scholar

[3] MAGLIVERAS, S. S.-OBERG, B. A.-SURKAN, A. J.: A new random number generatorfrom permutation groups, Rend. Sem. Mat. Fis. Milano 54 (1984), 203-223.10.1007/BF02924858Search in Google Scholar

[4] MAGLIVERAS, S. S.: A cryptosystem from logarithmic signatures of finite groups, in: Proc. of the 29th Midwest Symposium on Circuits and Systems (M. Ismail, ed.), Lincoln, NE, 1986, Elsevier Publ. Comp., 1986, pp. 972-975.Search in Google Scholar

[5] MAGLIVERAS, S. S.-MEMON, N. D.: Random permutations from logarithmic signatures, in: Computing in the 90’s, 1st Great Lakes Comp. Sci. Conf. (N.A. Sherwani et al., eds.), Kalamazoo, USA, 1989, Lecture Notes in Comput. Sci., Vol. 507 Springer-Verlag, Berlin, 1989, pp. 91-97.Search in Google Scholar

[6] MAGLIVERAS, S. S.-MEMON, N. D.: The algebraic properties of cryptosystem PGM, J. Cryptology 5 (1992), 167-183.10.1007/BF02451113Search in Google Scholar

[7] MAGLIVERAS, S. S.-STINSON, D. R.-TRAN VAN TRUNG: New approaches to designingpublic key cryptosystems using one-way functions and trapdoors in finite groups, J. Cryptology 15 (2002), 285-297.10.1007/s00145-001-0018-3Search in Google Scholar

[8] MAGLIVERAS, S. S.-SVABA, P.-TRAN VAN TRUNG-ZAJAC, P.: On the securityof a realization of cryptosystem MST3, Tatra Mt. Math. Publ. 41 (2008), 1-13.Search in Google Scholar

[9] MARQUARDT, P.-SVABA, P.-TRAN VAN TRUNG: Pseudorandom number generatorsbased on random covers for finite groups, Des. Codes Cryptogr. 64 (2012), 209-220.10.1007/s10623-011-9485-1Search in Google Scholar

[10] SVABA, P.-TRAN VAN TRUNG: On generation of random covers for finite groups, Tatra Mt. Math. Publ. 37 (2007), 105-112.Search in Google Scholar

[11] SVABA, P.-TRAN VAN TRUNG: Public key cryptosystem MST3: cryptanalysis andrealization, J. Math. Crypto. 4 (2010), 271-315.10.1515/jmc.2010.011Search in Google Scholar

[12] SZAB´ O, S.: Topics in Factorization of Abelian Groups. Birkh¨auser Verlag, Berlin, 2004.10.1007/978-93-86279-22-4Search in Google Scholar

[13] VASCO, M. I.G.-DEL POZO, A.I.P.-DUARTE, P.T.: A note on the security of MST3 Des. Codes Cryptogr. 55 (2010), 189-200. Search in Google Scholar

ISSN:
1210-3195
Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics