Zero-difference balanced functions with applications

DOI10.1080/15598608.2012.647479zbMath1418.05033OpenAlexW1978554433MaRDI QIDQ2322058

Yin Tan, Cunsheng Ding

Publication date: 27 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2012.647479

zbMATH Keywords

zero-difference balanced functionsdifference familiesconstant composition codesdifference systems of setsperfect nonlinear functionspermutation functions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of block designs (05B05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other types of codes (94B60) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (12)

On group rings and some of their applications to combinatorics and symmetric cryptography ⋮ Three classes of partitioned difference families and their optimal constant composition codes ⋮ Optimal FHSs and DSSs via near zero-difference balanced functions ⋮ On the Properties of Vectorial Functions with Plateaued Components and Their Consequences on APN Functions ⋮ The preimage distributions of a class of zero-difference balanced functions and their partitioned difference families ⋮ A generic method to construct zero-difference balanced functions ⋮ Sets of zero-difference balanced functions and their applications ⋮ Unnamed Item ⋮ Generic constructions for partitioned difference families with applications: a unified combinatorial approach ⋮ A new class of zero-difference balanced functions ⋮ A new construction of zero-difference balanced functions and two applications ⋮ Quadratic zero-difference balanced functions, APN functions and strongly regular graphs

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