English

Mass formula for self-orthogonal codes over Z_{p^2}

Combinatorics 2010-06-15 v2

Abstract

In this note, we establish a mass formula for self-orthogonal codes over Z_{p^2}, where p is a prime. As a consequence, an alternative proof of the known mass formulas for self-dual codes over Z_{p^2} is obtained. We also establish a mass formula for even quaternary codes, which includes a mass formula for Type II quaternary codes as a special case.

Cite

@article{arxiv.0805.2205,
  title  = {Mass formula for self-orthogonal codes over Z_{p^2}},
  author = {Rowena A. L. Betty and Akihiro Munemasa},
  journal= {arXiv preprint arXiv:0805.2205},
  year   = {2010}
}

Comments

18 pages; 17 pages, An error in Theorem 5.7, and some minor typographic changes have been made

R2 v1 2026-06-21T10:40:46.781Z