On the number of rotation symmetric functions over \(\mathrm{GF}(p)\)

DOI10.1016/j.mcm.2011.02.008zbMath1245.94072OpenAlexW2093144582MaRDI QIDQ445387

Shaojing Fu, Deshuai Dong, Longjiang Qu, Chao Li

Publication date: 24 August 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.02.008

zbMATH Keywords

nonlinearitycryptographyrotation symmetryminimal function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Related Items (2)

Constructing 1-resilient rotation symmetric functions over \(\mathbb{F}_p\) with \(q\) variables through special orthogonal arrays ⋮ Counting rotation symmetric functions using Polya's theorem

Cites Work

• Rotation symmetric Boolean functions-count and cryptographic properties
• On the weight and nonlinearity of homogeneous rotation symmetric Boolean functions of degree 2
• Results on rotation symmetric bent functions
• Fast evaluation, weights and nonlinearity of rotation-symmetric functions
• Results on rotation symmetric polynomials over \(GF(p)\)
• New results on the nonexistence of generalized bent functions
• Resilient functions over finite fields
• Balanced Symmetric Functions Over ${\hbox{GF}}(p)$
• Correlation-immune functions over finite fields
• Strict avalanche criterion over finite fields
• Enumeration of Homogeneous Rotation Symmetric Functions over F p
• Progress in Cryptology - INDOCRYPT 2004
• Fast Software Encryption

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