On decoding procedures of intertwining codes

01/06/2018
by   Shyambhu Mukherjee, et al.
0

One of the main weakness of the family of centralizer codes is that its length is always n^2. Thus we have taken a new matrix equation code called intertwining code. Specialty of this code is the length of it, which is of the form nk. We establish two decoding methods which can be fitted to intertwining codes as well as for any linear codes. We also show an inclusion of linear codes into a special class of intertwining codes.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/24/2021

Decoding a class of maximum Hermitian rank metric codes

Maximum Hermitian rank metric codes were introduced by Schmidt in 2018 a...
research
02/21/2022

Berman Codes: A Generalization of Reed-Muller Codes that Achieve BEC Capacity

We identify a family of binary codes whose structure is similar to Reed-...
research
03/16/2021

Decoding of Variable Length PLH Codes

In this paper, we address the problem of the decoding of variable length...
research
08/20/2019

Decoding Downset codes over a finite grid

In a recent paper, Kim and Kopparty (Theory of Computing, 2017) gave a d...
research
04/11/2019

Solving the large syndrome calculation problem in steganography

In error correction code based image steganography, embedding using larg...
research
06/13/2020

On Optimal Finite-length Binary Codes of Four Codewords for Binary Symmetric Channels

Finite-length binary codes of four codewords are studied for memoryless ...
research
11/05/2020

Coherent Flag Codes

In this paper we study flag codes on 𝔽_q^n, being 𝔽_q the finite field w...

Please sign up or login with your details

Forgot password? Click here to reset