Optimal p-ary cyclic codes with two zeros

08/08/2019
by   Yan Liu, et al.
0

As a subclass of linear codes, cyclic codes have efficient encoding and decoding algorithms, so they are widely used in many areas such as consumer electronics, data storage systems and communication systems. In this paper, we give a general construction of optimal p-ary cyclic codes which leads to three explicit constructions. In addition, another class of p-ary optimal cyclic codes are presented.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/24/2019

On an open problem about a class of optimal ternary cyclic codes

Cyclic codes are a subclass of linear codes and have applications in con...
research
11/05/2020

On cyclic LRC codes that are also LCD codes

Locally recoverable (LRC) codes provide a solution to single node failur...
research
05/23/2022

Cyclic Redundancy Checks and Error Detection

This study investigates the capabilities of Cyclic Redundancy Checks(CRC...
research
10/21/2022

Cyclic codes from low differentially uniform functions

Cyclic codes have many applications in consumer electronics, communicati...
research
08/05/2019

On the cyclic regularities of strings

Regularities in strings are often related to periods and covers, which h...
research
01/02/2022

A Bound on the Minimal Field Size of LRCs, and Cyclic MR Codes That Attain It

We prove a new lower bound on the field size of locally repairable codes...
research
04/03/2020

A Quadratic Form Approach to Construction A of Lattices over Cyclic Algebras

We propose a construction of lattices from (skew-) polynomial codes, by ...

Please sign up or login with your details

Forgot password? Click here to reset