Generalized Hamming Weight for self-dual codes over $\mathbb F_{2}+u\mathbb F_{2}$

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发表日期：

2025年12月13日

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Ankur Singh,
Siddhartha Siddhiprada Bhoi,
Pratyush Kumar

摘要

We consider the self-dual codes over the ring $\mathbb {F}_2+u\mathbb {F}_2$ $F_{2} + u F_{2}$ to discuss the generalized Hamming weight with respect to rank over the ring $\mathbb {F}_2+u\mathbb {F}_2$ $F_{2} + u F_{2}$ . We also discuss the bounds in terms of rank for generalized Lee weight.

Generalized Hamming Weight for self-dual codes over \(\mathbb F_{2}+u\mathbb F_{2}\)

摘要