This article is cited in 2 papers

Hadamard square of series connected linear codes

I. V. Chizhov<sup>abc

a</sup> Lomonosov Moscow State University
^b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
^c NPK Kryptonit

Abstract: Series connected codes are generated by matrices obtained by series connected generating matrices of other linear codes. We find an estimate for the probability that the Hadamard square of series connected random linear codes coincides with the Cartesian product of the Hadamard squares of the linear codes involved in the connection.

Keywords: the Hadamard square, Schur square, Hadamard product of linear codes, Schur product of linear codes, series connected linear codes.

UDC: 519.725

Received: 23.01.2023

DOI: 10.4213/dm1763

 English version: Discrete Mathematics and Applications, 2025, 35:2, 93–111

Bibliographic databases:

•