Title :
The operation consistency study for Rijndael algorithm and reed-solonmon algorithm in Galois Field(28)
Author :
Zhang, Yang Qing ; Lu, Xiao Jun
Author_Institution :
Sch. of Comput. Sci. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
The consistent proof of operation in finite field is presented by studying mathematical operations in Galois Field(28) and comparing Rijndael algorithm with Reed-Solomon algorithm in this paper. The explanation for various operations is given from the perspective of polynomial multiply, especially paying more attention to multiplication operation. Through analysis of mathematical operations, author proves that the basic operations for different implementation approaches in Galois Field(28) are consistent essentially.
Keywords :
Galois fields; Reed-Solomon codes; cryptography; polynomials; Galois Field(28); Reed-Solonmon algorithm; Rijndael algorithm; operation consistency; polynomial multiply; Algorithm design and analysis; Computer science; Cryptography; Error correction codes; Galois fields; Matrix converters; Niobium; Polynomials; Reed-Solomon codes; Safety; AES; Finite Field; GF; RS;
Conference_Titel :
Apperceiving Computing and Intelligence Analysis, 2009. ICACIA 2009. International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5204-0
Electronic_ISBN :
978-1-4244-5206-4
DOI :
10.1109/ICACIA.2009.5361164
