A generic method to construct zero-difference balanced functions

作者：Yi, Zongxiang^*; Lin, Zhiqiang; Ke, Lishan

来源：Cryptography and Communications, 2018, 10(4): 591-609.

DOI：10.1007/s12095-017-0247-4

• Constant weight code
• Frequency-hopping sequence
• Algebraic integers
• Zero-difference balanced function

Zero-difference balanced (ZDB) function plays an important role in communication field. In this paper, we propose a generic method to construct ZDB functions on generic algebraic rings. Using this method, we construct many new ZDB functions and retrieve some existing ZDB functions in a much simpler way. Moreover, new applications of the constructed ZDB functions, such as constructing optimal constant weight codes and optimal frequency-hopping sequences, are presented.

• 出版日期2018-7
• 单位广州大学