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A note on homogeneous bent functions
Haier International Training Center, Qingdao, China July 30-August 01
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.113Eighth ACIS International Conference ...
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Xiaolin Wang, Jianqin Zhou, Yubing Zang, "A note on homogeneous bent functions," Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on, vol. 2, pp. 138-142, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007.
 
 
BibTex
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@article{ 10.1109/SNPD.2007.113,
author = {Xiaolin Wang and Jianqin Zhou and Yubing Zang},
title = {A note on homogeneous bent functions},
journal ={Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on},
volume = {2},
year = {2007},
isbn = {0-7695-2909-7},
pages = {138-142},
doi = {http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.113},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
TI - A note on homogeneous bent functions
SN - 0-7695-2909-7
SP138
EP142
A1 - Xiaolin Wang,
A1 - Jianqin Zhou,
A1 - Yubing Zang,
PY - 2007
KW - Bent functions
KW - semi bent functions
KW - homogeneous bent functions
KW - Walsh cyclic spectrum
VL - 2
JA - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
ER -
 
Xiaolin Wang, Anhui University of Technology, China
Jianqin Zhou, Anhui University of Technology, China
Yubing Zang, Shandong TV University, China
Bent functions are used to build blocks for cryptographically strong S-boxes and spread spectrum systems. The concept of semi bent functions and quarter bent functions is presented. Based on the new concept, an approach to construct bent functions is proposed. A simpler method to find all 30 homogeneous bent functions of degree 3 in 6 boolean variables, which were previously discovered by a computer search, is given. It is proved that there do not exist homogeneous bent functions of degree m in 2m boolean variables for m \lge 3, without invoking results from the difference set theory.
Index Terms:
Bent functions, semi bent functions, homogeneous bent functions, Walsh cyclic spectrum
Citation:
Xiaolin Wang, Jianqin Zhou, Yubing Zang, "A note on homogeneous bent functions," snpd, vol. 2, pp.138-142, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
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