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PreprintCC BY-NC-ND 4.0arXiv

On MRD constacyclic codes over inseparable field extensions

Abstract

In this paper, we construct MRD constacyclic codes of length p over an inseparable field extension L/K, where K has characteristic p. In particular, these codes cannot be obtained from known constructions.

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BibTeX
@misc{berhuy2026constacyclic,
  title = {{On MRD constacyclic codes over inseparable field extensions}},
  author = {Grégory Berhuy},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23459},
  eprint = {2610.23459},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23459},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - On MRD constacyclic codes over inseparable field extensions
AU  - Grégory Berhuy
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23459
UR  - https://arxiv.org/abs/2610.23459
AB  - In this paper, we construct MRD constacyclic codes of length p over an inseparable field extension L/K, where K has characteristic p. In particular, these codes cannot be obtained from known constructions.
ER  -