English

Inference of unknown syndrome values in the implementation of the Berlekamp-Massey-Sakata algorithm

Information Theory 2025-09-19 v1 math.IT

Abstract

We study the problem of finding those missing syndrome values that are needed to implment the Berlekamp-Massey-Sakata algorithm as the Feng-Rao Majority Voting for algebraic geometric codes. We apply our results to solve syndrome correction in abelian codes.

Keywords

Cite

@article{arxiv.2509.14835,
  title  = {Inference of unknown syndrome values in the implementation of the Berlekamp-Massey-Sakata algorithm},
  author = {J. J. Bernal and J. J. Simón},
  journal= {arXiv preprint arXiv:2509.14835},
  year   = {2025}
}