Characterisation of the parameters of maximum weight spectrum codes according to their spread

06/08/2020
by   Alessio Meneghetti, et al.
0

We introduce the concept of spread of a code, and we specialize it to the case of maximum weight spectrum (MWS) codes. We classify two newly-defined sub-families of MWS codes according to their weight distributions, and completely describe their fundamental parameters. We focus on one of these families, the strictly compact MWS codes, proving their optimality as MWS codes and linking them to known codes.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/31/2023

The weight spectrum of several families of Reed-Muller codes

We determine the weight spectrum of RM(m-3,m) for m≥ 6, of RM(m-4,m) for...
research
06/14/2018

Maximum weight spectrum codes with reduced length

A q-ary linear code of dimension k is called a maximum weight spectrum (...
research
04/16/2018

The Subfield Codes of Ovoid Codes

Ovoids in (3, (q)) have been an interesting topic in coding theory, comb...
research
02/04/2020

Weight distributions of six families of 3-weight binary linear codes

First, we correct a previous erroneous result about the exponential sum ...
research
05/12/2023

New constructions of optimal linear codes from simplicial complexes

In this paper, we construct a large family of projective linear codes ov...
research
07/30/2021

On weight spectrum of linear codes

We study sequences of linear or affine codes with uniform weight spectru...
research
07/31/2018

A note on full weight spectrum codes

A linear [n,k]_q code C is said to be a full weight spectrum (FWS) c...

Please sign up or login with your details

Forgot password? Click here to reset