Paper 2005/453 Original: eprint.iacr.org/2005/453 ↗

Further Constructions of Almost Resilient Functions

Pinhui Ke
Jie Zhang
Qiaoyan Wen
Abstract

Almost resilient function is the generalization of resilient function and have important applications in multiple authenticate codes and almost security cryptographic Boolean functions.In this paper,some secondary constructions are provided.In particular, the theorem $3$ in {\cite {ke}} is improved. As $\varepsilon $-almost$(n,1,k)$-CI functions plays an important role in the secondary constructions, we concluded some properties and constructions. Specially we presented a spectrum characterization of balanced almost CI function, which can be used to identify a balanced almost CI function by computing its walsh spectra.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2005-12-21: last updated
2005-12-14: published
Short URL
https://ia.cr/2005/453
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2005/453,
      author = {Pinhui Ke and Jie Zhang and Qiaoyan Wen},
      title = {Further Constructions of Almost Resilient Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/453},
      year = {2005},
      url = {https://eprint.iacr.org/2005/453}
}
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