A Note on the Zero-Difference Balanced Functions with New Parameters

Shanding XU; Xiwang CAO; Jian GAO

doi:10.1587/transfun.E102.A.1402

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A Note on the Zero-Difference Balanced Functions with New Parameters

Shanding XU, Xiwang CAO, Jian GAO

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Keywords: zero-difference balanced function, finite field, constant composition code, difference system of sets

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2019 Volume E102.A Issue 10 Pages 1402-1405

DOI https://doi.org/10.1587/transfun.E102.A.1402

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Abstract

As a generalization of perfect nonlinear (PN) functions, zero-difference balanced (ZDB) functions play an important role in coding theory, cryptography and communications engineering. Inspired by a foregoing work of Liu et al. [1], we present a class of ZDB functions with new parameters based on the cyclotomy in finite fields. Employing these ZDB functions, we obtain simultaneously optimal constant composition codes and perfect difference systems of sets.

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