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

Fuente: arXiv
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Main Authors: Ozbudak, Ferruh, Santonastaso, Paolo, Zullo, Ferdinando
Format: Preprint
Published: 2024
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author Ozbudak, Ferruh
Santonastaso, Paolo
Zullo, Ferdinando
author_facet Ozbudak, Ferruh
Santonastaso, Paolo
Zullo, Ferdinando
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_18996
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes
Ozbudak, Ferruh
Santonastaso, Paolo
Zullo, Ferdinando
Information Theory
Combinatorics
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.
title Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes
topic Information Theory
Combinatorics
url https://arxiv.org/abs/2405.18996