DocumentCode
3025335
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
fYear
2010
fDate
23-24 Oct. 2010
Firstpage
413
Lastpage
416
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/CDEE.2010.86
Filename
5759309
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