On linear codes with random multiplier vectors and the maximum trace dimension property
Let CC be a linear code of length nn and dimension kk over the finite field Fqm{{\mathbb{F}}}_{{q}^{m}}. The trace code Tr(C){\rm{Tr}}\left(C) is a linear code of the same length nn over the subfield Fq{{\mathbb{F}}}_{q}. The obvious upper bound for the dimension of the trace code over Fq{{\mathbb{F...
Egile Nagusiak: | , , , |
---|---|
Formatua: | Artikulua |
Hizkuntza: | English |
Argitaratua: |
De Gruyter
2024-02-01
|
Saila: | Journal of Mathematical Cryptology |
Gaiak: | |
Sarrera elektronikoa: | https://doi.org/10.1515/jmc-2023-0022 |