Doubly even self-orthogonal codes from quasi-symmetric designs

TL;DR

This paper introduces a new method for constructing doubly even self-orthogonal codes using quasi-symmetric designs and their orbit matrices, expanding the toolkit for coding theory.

Contribution

It presents novel constructions of doubly even self-orthogonal codes derived from quasi-symmetric designs and their orbit matrices, especially of Blokhuis-Haemers type.

Findings

New code constructions from quasi-symmetric designs

Orbit matrices facilitate code generation

Enhanced understanding of code design from combinatorial structures

Abstract

In this paper, we give a construction of doubly even self-orthogonal codes from quasi-symmetric designs. Further, we study orbit matrices of quasi-symmetric designs and give a construction of doubly even self-orthogonal codes from orbit matrices of quasi-symmetric designs of Blokhuis-Haemers type.