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Paper: Construction of Resilient Functions with Multiple Cryptographic Criteria

Authors:
Shaojing Fu
Chao Li
Bing sun
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URL: http://eprint.iacr.org/2008/249
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Abstract: In this paper, we describe a method to construct (n, m, t) resilient functions which satisfy multiple cryptographic criteria including high nonlinearity, good resiliency, high algebraic degree, and nonexistence of nonzero linear structure. Given a [u, m, t+1] linear code, we show that it is possible to construct (n, m, t) resilient functions with multiple good cryptographic criteria, where 2m<u<n.
BibTeX
@misc{eprint-2008-17926,
  title={Construction of Resilient Functions with Multiple Cryptographic Criteria},
  booktitle={IACR Eprint archive},
  keywords={Resilient function; Linear Code; Nonlinearity; Linear structure},
  url={http://eprint.iacr.org/2008/249},
  note={ shaojing1984@yahoo.cn 14119 received 2 Jun 2008, last revised 8 Jun 2008, withdrawn 28 Aug 2008},
  author={Shaojing Fu and Chao Li and Bing sun},
  year=2008
}