Codes from Hadamard Matrices and Profiles of Hadamard Matrices, $II$

Abstract

In this paper, we investigate the relationship between the profiles of Hadamard matrices and the weights of the doubly even self-orthogonal/dual $[n,m,d]$ codes from Hadamard matrices of order $n=8t$ with $t\ge 1$. We show that such codes have $m\le \frac{n}{2}$, and give some computational results of doubly even self-orthogonal/dual $[n,m,d]$ codes from Hadamard matrices of order $n=8t$, with $1\le t\le 9$.