Title :
Property of finite fields and its cryptography application
Author :
Baodian, Wei ; Dongsu, Liu ; Wenping, Ma ; Xinmei, Wang
Author_Institution :
Nat. Key Lab. of ISN, Xidian Univ., Xi´´an, China
fDate :
4/17/2003 12:00:00 AM
Abstract :
A new property of finite fields is discovered, that the co-ordinates of the finite field element are expressed by algebraic polynomials with the element itself as the variable. The new property is used to determine the algebraic expression of the Rijndael S box. Furthermore, it is shown why the expression of the Rijndael S box appears so simple.
Keywords :
Galois fields; cryptography; polynomial matrices; Rijndael S box; algebraic polynomials; cryptography application; finite field element co-ordinates; finite fields property;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20030444