On Euclidean Hulls of MDS Codes

08/03/2019
by   Xiaolei Fang, et al.
0

In this paper, we consider some variation of self-dual (extended) generalized Reed-Solomon (GRS) codes when the length of code is even and consider a special case of almost self-dual (extended) GRS codes when the length is odd. The dimensions of Euclidean hulls of such codes can be determined. It turns out our constructions are more general than previous works on Euclidean hulls of (extended) GRS codes.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/05/2019

Constructions of MDS Euclidean Self-dual Codes from small length

Systematic constructions of MDS Euclidean self-dual codes is widely conc...
research
10/05/2019

Constructions of MDS Euclidean Self-dual Codes from smaller length

Systematic constructions of MDS Euclidean self-dual codes is widely conc...
research
10/05/2019

Constructions of MDS Self-dual Codes from Short length

Systematic constructions of MDS self-dual codes is widely concerned. In ...
research
01/08/2013

Apollonian Circumcircles of IFS Fractals

Euclidean triangles and IFS fractals seem to be disparate geometrical co...
research
05/24/2020

A Note on Self-Dual Generalized Reed-Solomon Codes

A linear code is called an MDS self-dual code if it is both an MDS code ...
research
05/31/2020

Construction of MDS Euclidean Self-Dual Codes via Two Subsets

The parameters of a q-ary MDS Euclidean self-dual codes are completely d...
research
01/14/2020

Self-reciprocal and self-conjugate-reciprocal irreducible factors of x^n-λ and their applications

In this paper, we present some necessary and sufficient conditions under...

Please sign up or login with your details

Forgot password? Click here to reset