Title :
Unified Approach to Construct 8X8 Binary Matrices with Branch Number 5
Author :
Gao, Ying ; Guo, Guifeng
Author_Institution :
LMIB of the Minist. of Educ., Beijing Univ. of Aeronaut. & Astronaut., Beijing, China
Abstract :
We focus on {0, 1}-matrices of size 8×8 and provide a unified method to construct all {0, 1}-matrices of size 8×8 whose branch numbers are 5. And using the constructed results, we can find that the total Hamming weight of them varies from 33 to 44. While the type of total Hamming weight 44 has been used in cipher E2 and Camellia, we can use the other types in designing linear transformation of an SPN cipher.
Keywords :
cryptography; matrix algebra; SPN cipher; binary matrices; branch numbers; total Hamming weight; Cryptography; Data mining; Hamming weight; Matrices; Medical services; Resistance; binary matrix; branch number; diffusion layer;
Conference_Titel :
Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
Conference_Location :
Qinhuangdao
Print_ISBN :
978-1-4244-9595-5
DOI :
10.1109/CDEE.2010.86
