Open AccessCertain Types of Linear Codes over the Finite Field of Order Twenty-Five
Author(s) -
Emad Bakr Al-Zangana,
Elaf Abdul Satar Shehab
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.11.22
Subject(s) - finite field , projective plane , mathematics , finite geometry , weight distribution , hamming distance , hamming code , order (exchange) , incidence matrix , separable space , line (geometry) , linear code , field (mathematics) , discrete mathematics , projective test , plane (geometry) , projective space , combinatorics , pure mathematics , mathematical analysis , geometry , algorithm , block code , physics , correlation , decoding methods , finance , quantum mechanics , node (physics) , economics , thermodynamics
The aim of the paper is to compute projective maximum distance separable codes, -MDS of two and three dimensions with certain lengths and Hamming weight distribution from the arcs in the projective line and plane over the finite field of order twenty-five. Also, the linear codes generated by an incidence matrix of points and lines of were studied over different finite fields.