Construction on Griesmer Codes with Dimension Not Less than Five
Wen Ma, Jinquan Luo
TL;DR
This paper introduces new constructions of Griesmer codes with dimension at least five using geometric techniques like projective duality and puncturing, expanding the methods available for code design.
Contribution
It presents novel geometric methods for constructing Griesmer codes specifically for dimensions five and above, which was less explored before.
Findings
New Griesmer codes constructed for dimension ≥5
Use of projective dual and puncturing techniques
Enhanced understanding of geometric methods in coding theory
Abstract
In this paper we construct new Griesmer codes of dimension by means of some geometric methods such as projective dual and geometric puncturing.
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Taxonomy
TopicsCoding theory and cryptography · Cancer Mechanisms and Therapy · graph theory and CDMA systems