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The Second Generalized Covering Radius of Binary Primitive Double-Error-Correcting BCH Codes

Information Theory 2024-09-17 v1 math.IT

Abstract

We completely determine the second covering radius for binary primitive double-error-correcting BCH codes. As part of this process, we provide a lower bound on the second covering radius for binary primitive BCH codes correcting more than two errors.

Cite

@article{arxiv.2409.10420,
  title  = {The Second Generalized Covering Radius of Binary Primitive Double-Error-Correcting BCH Codes},
  author = {Lev Yohananov and Moshe Schwartz},
  journal= {arXiv preprint arXiv:2409.10420},
  year   = {2024}
}
R2 v1 2026-06-28T18:46:24.694Z