Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes

TL;DR

This paper introduces a novel method using multi-orbit cyclic subspace codes and finite field structures to construct large optical orthogonal codes, expanding the available code parameters.

Contribution

It presents a new application of multi-orbit cyclic subspace codes leveraging finite field multiplicative structures for optical code construction, differing from previous combinatorial methods.

Findings

New classes of optical orthogonal codes with varied parameters

Enhanced code construction techniques using finite field multiplicative structures

Immediate derivation of larger codes compared to existing methods

Abstract

We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensions. This approach is different from earlier approaches using combinatorial and additive (character sum) structures of finite fields. Consequently, we immediately obtain new classes of optical orthogonal codes with different parameters.