Some results on the Z2Z4[u]-additive codes

Jie Geng; Huazhang Wu; Que Ouyang; Lang Shen

doi:10.1117/12.2635850

5 May 2022 Some results on the Z₂Z₄[u]-additive codes

Jie Geng, Huazhang Wu, Que Ouyang, Lang Shen

Proceedings Volume 12245, International Conference on Cryptography, Network Security, and Communication Technology (CNSCT 2022); 1224509 (2022) https://doi.org/10.1117/12.2635850
Event: International Conference on Cryptography, Network Security, and Communication Technology (CNSCT 2022), 2022, Sanya, China

Abstract

Algebraic coding theory has so many important applications in information sciences, cryptogram and communication technology, etc. In this paper, we study Z₂Z₄[u]-additive codes in three aspects: Gray map, MacWilliams identity and one-weight codes. We first defined a Gray map and then prove that it is a weight preserving and a distance preserving map. A MacWilliams identity which connects the weight enumerator of an additive code and its dual code is deduced. Finally, we discuss one-weight Z₂Z₄[u]-additive codes.

Citation Download Citation

Jie Geng, Huazhang Wu, Que Ouyang, and Lang Shen "Some results on the Z₂Z₄[u]-additive codes", Proc. SPIE 12245, International Conference on Cryptography, Network Security, and Communication Technology (CNSCT 2022), 1224509 (5 May 2022); https://doi.org/10.1117/12.2635850

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