Construction of resilient Boolean functions with high nonlinearity and good algebraic degree

Li, LuYang; Zhang, Weiguo

doi:10.1002/sec.1218

Cited by 3 publications

(1 citation statement)

References 22 publications

(44 reference statements)

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“…Siegenthaler [9] proved that m þ d ≤ n þ 1ifm ≤ n À 2. The exact nature of trade-offs among order of correlation immunity, nonlinearity, and algebraic degree has also been investigated, for instance, ( [12,13]. Using the above bounds, one may naturally try to provide the construction of an n; m; d; N f ÀÁ function for any given n and m while at the same time attempting to optimize d and N f .…”

Section: Aeçmentioning

confidence: 99%

Implementing Symmetric Cryptography Using Sequence of Semi-Bent Functions

Bajrić¹

2019

Modern Cryptography - Theory, Technology, Adaptation and Integration [Working Title]

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Symmetric cryptography is a cornerstone of everyday digital security, where two parties must share a common key to communicate. The most common primitives in symmetric cryptography are stream ciphers and block ciphers that guarantee confidentiality of communications and hash functions for integrity. Thus, for securing our everyday life communication, it is necessary to be convinced by the security level provided by all the symmetric-key cryptographic primitives. The most important part of a stream cipher is the key stream generator, which provides the overall security for stream ciphers. Nonlinear Boolean functions were preferred for a long time to construct the key stream generator. In order to resist several known attacks, many requirements have been proposed on the Boolean functions. Attacks against the cryptosystems have forced deep research on Boolean function to allow us a more secure encryption. In this work we describe all main requirements for constructing of cryptographically significant Boolean functions. Moreover, we provide a construction of Boolean functions (semi-bent Boolean functions) which can be used in the construction of orthogonal variable spreading factor codes used in code division multiple access (CDMA) systems as well as in certain cryptographic applications.

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Section: Aeçmentioning

confidence: 99%