# ON GENERALIZED ZERO-DIFFERENCE BALANCED FUNCTIONS

Jiang, Lin;Liao, Qunying

• Published : 2016.01.31
• 14 3

#### Abstract

In the present paper, by generalizing the definition of the zero-difference balanced (ZDB) function to be the G-ZDB function, several classes of G-ZDB functions are constructed based on properties of cyclotomic numbers. Furthermore, some special constant composition codes are obtained directly from G-ZDB functions.

#### Keywords

zero-difference balanced (ZDB) function;generalized ZDB function;cyclotomic coset;difference system of sets;constant composition code

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#### Cited by

1. Some New Constructions for Generalized Zero-Difference Balanced Functions vol.27, pp.08, 2016, https://doi.org/10.1142/S0129054116500362
2. New classes of generalized zero-difference balanced functions and their applications vol.42, pp.1, 2019, https://doi.org/10.1080/02533839.2018.1537805

#### Acknowledgement

Supported by : Natural Science Foundation of China, Sichuan Province Foundation of China