Characterizing Linear Structures of Boolean Functions from Arithmetic Walsh Transform-Reference-Cited by-同舟云学术

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Characterizing Linear Structures of Boolean Functions from Arithmetic Walsh Transform

Published:2017 Issue:9 Volume:E100.A Page:1965-1972
ISSN:0916-8508
Container-title:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
language:en
Short-container-title:IEICE Trans. Fundamentals

Author:

ZHAO Qinglan¹²,ZHENG Dong²,LI Xiangxue³,ZHANG Yinghui²,DONG Xiaoli²

Affiliation:

1. School of Information Security Engineering, Shanghai Jiao Tong University

2. School of Telecommunication and Information Engineering, Xi'an University of Post and Telecommunications

3. Department of Computer Science and Technology, East China Normal University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Link

https://www.jstage.jst.go.jp/article/transfun/E100.A/9/E100.A_1965/_pdf

Reference16 articles.

1. [1] C. Carlet, “Boolean functions for cryptography and error correcting codes,” in Boolean Models and Methods in Mathematics, Y. Crama and P.L. Hammer, eds., vol.2, pp.257-397, Computer Science, and Engineering, 2010.

2. [2] W. Meier and O. Staffelbach, “Nonlinearity criteria for cryptographic functions,” Advances in Cryptology EUROCRYPT'89, pp.549-562, Springer, 1990. 10.1007/3-540-46885-4_53

3. [3] A. Klapper and M. Goresky, “A with-carry walsh transform,” Sequences and Their Applications-SETA 2010, pp.217-228, Springer, 2010. 10.1007/978-3-642-15874-2_18

4. [4] A. Klapper and M. Goresky, “Arithmetic correlations and walsh transforms,” IEEE Trans. Inf. Theory, vol.58, no.1, pp.479-492, 2012. 10.1109/tit.2011.2165333

5. [5] A. Klapper, “Arithmetic Walsh transform of quadratic Boolean functions,” Sequences and Their Applications-SETA 2012, pp.65-76, Springer, 2012. 10.1007/978-3-642-30615-0_6

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