Paper 2009/563

A Family of p-ary Binomial Bent Functions

Dabin Zheng, Xiangyong Zeng, and Lei Hu

Abstract

For a prime p with p3(mod4) and an odd number m, the Bentness of the p-ary binomial function fa,b(x)=Tr1n(axpm1)+Tr12(bxpn14) is characterized, where n=2m, a\bFpn, and b\bFp2. The necessary and sufficient conditions of fa,b(x) being Bent are established respectively by an exponential sum and two sequences related to a and b. For the special case of , we further characterize the Bentness of the ternary function by the Hamming weight of a sequence.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Contact author(s)
dbzheng @ gucas ac cn
History
2009-11-23: received
Short URL
https://ia.cr/2009/563
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2009/563,
      author = {Dabin Zheng and Xiangyong Zeng and Lei Hu},
      title = {A Family of $p$-ary Binomial Bent Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/563},
      year = {2009},
      url = {https://eprint.iacr.org/2009/563}
}
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