Arithmetic of Rijndael and Its Frequency Analysis
Zha Yi-guo, Pla Uni
Abstract
Zha Yi-guo, Pla Uni
Abstract
This paper gives a detailed analysis of the processing procedure and the mathematical rationale of Rijndael arithmetic, the final AES selected arithmetic. After the χ 2-check of the cipher frequency on the levelof α=0.005, the paper asserts that the cipher bit-stream follows the binomial distribution B(n, 0.05). So the bits of the Rijndael cipher have a pretty random property.
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This paper gives a detailed analysis of the processing procedure and the mathematical rationale of Rijndael arithmetic, the final AES selected arithmetic. After the χ 2-check of the cipher frequency on the levelof α=0.005, the paper asserts that the cipher bit-stream follows the binomial distribution B(n, 0.05). So the bits of the Rijndael cipher have a pretty random property.
Key concepts: Advanced Encryption Standard, Arithmetic, Stream cipher, Cipher, Block cipher, Running key cipher, Mathematics, Computer science