Improved lower bound on the number of balanced symmetric functions over GF(p)

Authors:
Pinhui Ke;Liuling Huang;Shengyuan Zhang
Affiliations:
Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fujian 350007, PR China;Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fujian 350007, PR China;Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fujian 350007, PR China
Venue:
Information Sciences: an International Journal
Year:
2009

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Abstract

The lower bound on the number of n-variable balanced symmetric functions over finite fields GF(p) presented by Cusick et al. in [T.W. Cusick, Y. Li, P. Sta@?nica@?, Balanced symmetric functions over GF(p), IEEE Trans. Inform. Theory 54 (3) (2008) 1304-1307] is improved in this paper. An equivalent characterization is also presented for the general case.