期刊论文

Zheng, Dabin

英文

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING

0938-1279

2019

30

1

75-92

10.1007/s00200-018-0359-x

Acknowledgements The authors would like to thank Prof. Q. Xiang for providing Reference [13], and the reviewers and the editor for their helpful comments and valuable suggestions, which have greatly improved the presentation of this paper. This work of X. Wang and H. Liu was supported by the self-determined research funds of CCNU from the collegess basic research and operation of MOE (Grant No. CCNU18TS028).

本校为第一机构

In this paper, several classes of two-weight or three-weight linear codes over Fp from quadratic or non-quadratic functions are constructed and their weight distributions are determined. From the constructed codes, we obtain some optimal linear codes with respect to the Singleton bound and the Griesmer bound. These two- or three-weight linear codes may have applications in secret sharing, authentication codes, association schemes and strongly regular graphs. © ...