Complete weight enumerators of a class of linear codes

Let be the finite field with elements, where p is an odd prime and m is a positive integer. For a positive integer t, let and let be the trace function from onto . In this paper, let we define a p-ary linear code by We shall present the complete weight enumerators of the linear codes and give several classes of linear codes with a few weights. This paper generalizes the results of Yang and Yao (Des Codes Cryptogr, 2016).
Publisher
SPRINGER
Issue Date
2017-04
Language
English
Keywords

SECRET SHARING SCHEMES; AUTHENTICATION CODES; 3-WEIGHT CODES; CONSTRUCTION

Citation

DESIGNS CODES AND CRYPTOGRAPHY, v.83, no.1, pp.83 - 99

ISSN
0925-1022
DOI
10.1007/s10623-016-0205-8
URI
http://hdl.handle.net/10203/223415
Appears in Collection
RIMS Journal Papers
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