Title
Trace codes over $${\mathbb {Z}}_4,$$Z4, and Boolean functions
Abstract
AbstractWe construct trace codes over $$\mathbb {Z}_4$$Z4 based on Boolean functions and their support. The Lee weight distribution of these codes is studied by using the Walsh---Hadamard transform of the Boolean functions, and exponential character sums. We obtain few weights codes. In particular, bent and semi-bent functions give three-weight codes.
Year
DOI
Venue
2019
10.1007/s10623-018-0542-x
Periodicals
Keywords
DocType
Volume
Galois rings, Boolean functions, Character sums
Journal
87
Issue
ISSN
Citations 
6
0925-1022
0
PageRank 
References 
Authors
0.34
3
5
Name
Order
Citations
PageRank
Minjia Shi1184.00
Yan Liu224173.08
Hugues Randriam3376.60
Lin Sok44710.38
Patrick Solé576.25