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On the avalanche properties of misty1, kasumi and kasumi-r
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index.pdf
Date
2008
Author
Akleylek, Sedat
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The Global System for Mobile (GSM) Communication is the most widely used cellular technology. The privacy has been protected using some version of stream ciphers until the 3rd Generation of GSM. KASUMI, a block cipher, has been chosen as a standard algorithm in order to be used in 3rd Generation. In this thesis, s-boxes of KASUMI, MISTY1 (former version of KASUMI) and RIJNDAEL (the Advanced Encryption Standard) are evaluated according to their linear approximation tables, XOR table distributions and satisfaction of the strict avalanche criterion (SAC). Then, the nonlinear part, FI function, of KASUMI and MISTY1 are investigated for SAC. A new FI function is defined by replacing both s-boxes of KASUMI by RIJNDAEL’s s-box. Calling this new version KASUMI-R, it is found to have an FI function significantly better than others. Finally, the randomness characteristics of the overall KASUMI-R for different rounds are compared to those of MISTY1 and KASUMI, in terms of avalanche weight distribution (AWD) and some statistical tests. The overall performance of the three ciphers is found to be same, although there is a significant difference in their FI functions.
Subject Keywords
Block cipher.
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http://etd.lib.metu.edu.tr/upload/12609407/index.pdf
https://hdl.handle.net/11511/17622
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Graduate School of Applied Mathematics, Thesis
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S. Akleylek, “On the avalanche properties of misty1, kasumi and kasumi-r,” M.S. - Master of Science, Middle East Technical University, 2008.
