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

TL;DR

This paper derives mass formulas for self-orthogonal and even quaternary codes over Z_{p^2}, providing new proofs and extending known results for self-dual and Type II codes.

Contribution

It introduces a new mass formula for self-orthogonal codes over Z_{p^2} and for even quaternary codes, including Type II codes as a special case.

Findings

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

Alternative proof for mass formulas of self-dual codes

Mass formula for even quaternary codes and Type II codes

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.