Generator kodow liniowych o skonczonych charakterystykach
Frydrych Mariusz, Horzelski Wojciech

TL;DR
This paper introduces a novel method for generating certain families of linear codes over finite fields with characteristics greater than two, utilizing embeddings of projective lines into Grassmann manifolds, especially when dimension equals codimension.
Contribution
It proposes a new approach to construct linear codes over finite fields by embedding projective lines into Grassmann manifolds, expanding the class of codes that can be generated.
Findings
Effective code generation over finite fields with characteristic > 2
Utilizes embedding of projective lines into Grassmann manifolds
Applicable when dimension equals codimension
Abstract
The paper presents a method to generate some families of linear codes over finite fields of characteristics greater than two in the widest class due to the size of Grassmann manifold, i.e. when the dimension is equal to codimension. Our method applies some simple embedding of projective line into the Grassman manifold.
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Taxonomy
TopicsCooperative Communication and Network Coding · Error Correcting Code Techniques · Coding theory and cryptography
