Message Encoding and Retrieval for Spread and Cyclic Orbit Codes

TL;DR

This paper introduces methods for encoding and retrieving messages in spread and cyclic orbit codes, addressing a previously unexplored aspect of their practical use in communication systems.

Contribution

It presents a novel approach for message encoding and retrieval specifically tailored for spread and cyclic orbit codes.

Findings

Effective encoding and retrieval algorithms for these codes

Demonstrated applicability to message transmission

Enhanced understanding of code utilization in communication

Abstract

Spread codes and cyclic orbit codes are special families of constant dimension subspace codes. These codes have been well-studied for their error correction capability, transmission rate and decoding methods, but the question of how to encode and retrieve messages has not been investigated. In this work we show how a message set of consecutive integers can be encoded and retrieved for these two code families.