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Construction of a Class of Multi-output Bent Functions(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2005年02期
Page:
46-49
Research Field:
Publishing date:

Info

Title:
Construction of a Class of Multi-output Bent Functions
Author(s):
LIU Zhigao 1; 2; ZHANG Futai1; XU Qian1
1.School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu Nanjing 210097, China; 2.School of Vocational Technology, Anhui University of Technology, Anhui Maanshan 243002, China
Keywords:
Ben t function;  sem -i Ben t function;  m ult-i output Bent function;  mu lt-i output sem -i Bent function;  W alsh spec trum
PACS:
TN918
DOI:
-
Abstract:
The concept of sem -i bent func tions is gene ra lized. M eanw hile, the concept o fm ult-i outpu t sem -i ben t functions is introduced. Based on the new concept, a me thod of construct ing mu lt-i output Bent functions is presented. In them ethod, am ult-i outpu t Bent function is constructed by concatenating two mu lt-i output sem -i B ent func tions. Compared w ith the ex isting m ethods, our new ly proposed me thod has a simp le structure and is conven ient to use. W ith this new m ethod, m ult-i output Bent functionsw ith arb itrary even var iables can be constructed. M o reover, am ethod o f constructing mu lt-i output sem -i Ben t functions is proposed. B es ides, app lica tions in the construction o f m ult-i ou tput Bent functions, mu lt-i output sem -i Ben t functions can also be applied in m ult-i output feedforward netwo rks.

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Last Update: 2013-04-29