[KSCI] Korea Science Citation Index Service

Lee, Kisuk (Department of Mathematics, Sookmyung Women's University)

Publication Information

Abstract

In this article, we compute the order of a general linear group $GL_n(A)$ over a finite ring A.

Keywords

Cryptosystem; Key Exchange System; Matrix Ring; General Linear Group;

Citations & Related Records

1	K. Lee, "Use of algebraic theories in cryptography", Journal of Natural Sciences Sookmyung Women's University, Vol 14, pp. 43-48, 2003.
2	W. Diffie and M. Hellman, "New directions in cryptography", IEEE T. Inform. Theory, Vol. 22, pp. 644-654, 1976. DOI
3	A. Odlyzko, "Discrete logarithms: the past and the future", Design. Code. Cryptogr., Vol. 19, pp. 129-145, 2000. DOI
4	R. L. Rievest, A. Shamir, and L. Adleman, "A method for obtaining digital signatures, and public-key cryptosystems", Commun. ACM, Vol. 21, pp. 120-126, 1978. DOI
5	N. Koblitz, "A course in number theory and cryptography", 2nd ed., New York: Springer-Verlag, 1994.
6	A. K. Lenstra and E. R. Verheul, "The XTR public key system", in Advances in Cryptology-CRYPTO, New York: Springer-Verlag, pp. 1-19, 2000.
7	J. Koh, "Commutative algebra and cryp- tography", 2nd Conference on the Development of Public Key Cryptosystems, KISA, 1999.
8	M. F. Atiyah and I. G. Macdonald, "Intro- duction to commutative algebra", Boston: Addison-Wesley, 1969.
9	T.W. Hungerford, "Algebra", New York: Springer, 1980.

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