2001•Journal of PLA University of Science and TechnologyRequires access

Arithmetic of Rijndael and Its Frequency Analysis

Zha Yi-guo, Pla Uni

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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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What this paper is about

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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Available 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.

Key concepts: Advanced Encryption Standard, Arithmetic, Stream cipher, Cipher, Block cipher, Running key cipher, Mathematics, Computer science

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