Title :
The Characteristics of Linear Structure for Cryptographic Function over Finite Field
Author :
Jihong Teng ; Xiaoying Huang ; Zhibo Lu
Author_Institution :
Dept. of Math. & Phys., Zhengzhou Inf. Eng. Univ., Zhengzhou, China
Abstract :
The paper firstly reveals the characteristics of linear structure for cryptographic function over finite field, which is quiet different from that over prime field, and some examples are presented to support the result. Then a class of functions taking all vectors as their linear structures is suggested, which are called generalized affine functions and have the similar properties with that of affine function.
Keywords :
cryptography; nonlinear functions; computer security practices; cryptographic function; encoding theory; finite field; generalized affine functions; linear structure characteristics; nonlinear functions; prime field; stream cipher; Companies; Cryptography; Galois fields; Multimedia communication; Polynomials; Publishing; Vectors; Finite Field; affine function; generalized affine function; linear structure; prime field;
Conference_Titel :
Multimedia Information Networking and Security (MINES), 2012 Fourth International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4673-3093-0
DOI :
10.1109/MINES.2012.219
