OALib Journal期刊
ISSN: 2333-9721
费用:99美元
|
|
|
Fn2上的正形置换
DOI: 10.13190/jbupt.200601.115.changzl, PP. 115-118
Keywords: 置换,正形置换,若当标准型
Abstract:
讨论了正形置换的构造和性质,并分析了正形置换的幂次是否仍是正形置换.对于线性正形置换,根据矩阵标准型的性质,只要整数i不能被这个正形置换对应矩阵的极小多项式的各个根的阶整除,则这个线性正形置换的i次幂仍是线性正形置换.对于非线性正形置换,给出了有用的结果.
References
[1] | McFarland R L. A family of noncyclic difference sets[J]. Journal of Combinatorics Theory(Series A), 1973, 15: 1-10.
|
[2] | Rothaus O S, On bent functions[J]. Journal of Combinatorics Theory(Series A), 1976, 20: 300-305.
|
[3] | MacWilliams F J, Sloane N J A. The Theory of Error Correcting Codes[M]. Amsterdam, Netherlands: North Holland, 1977.
|
[4] | Nathan Jacobson. Lectures in Abstract Algebra Ⅱ. Linear Algebra[M]. Berlin: Springer-Verlag, 1953.
|
[5] | Lidl R, Niederreiter H. Finite fields[J]. Encyclopedia of Mathematics and Its Applications, 1983, 20.
|
[6] | Nyberg K. Perfect nonlinear S-boxes[C]//Advances in Cryptology- EUROCRYPT'91(Lecture Notes in Computer Science). Berlin: Springer-Verlag, 1991: 378-386.
|
[7] | Johnson D M, Dulmage A L, Mendelsohn N S. Orthomorphisms of group and orthogonal latin squares[J]. Canad. J Math, 1961, 13: 356-372.
|
[8] | Dai Z T, Golomb S W, Gong G. Generating all linear orthomorphisms without repetitions[J]. Discrete Mathematics, 1999, 25: 47-55.
|
[9] | Mittenthal L. Block substitutions using orthomorphic mappings[J]. Advances in Applied Mathematics, 1995, 16: 59-71.
|
[10] | Mittenthal L. The algebraic structure of nonlinear orthomorphisms of binary numbers[J]. Teledyne Electronic Technologies, 1994.
|
Full-Text
|
|
Contact Us
service@oalib.com QQ:3279437679 
WhatsApp +8615387084133
|
|