Title
Linear code derived from the primage of quadratic function.
Abstract
Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for an odd prime power $q$, we construct some class of linear code over finite field $mathbb{F}_q$ with defining set be the preimage of general quadratic form function and determine the explicit complete weight enumerators of the linear codes. Our construction cover all the corresponding result with quadratic form function and they may have applications in cryptography and secret sharing schemes.
Year
Venue
Field
2016
arXiv: Information Theory
Isotropic quadratic form,Discrete mathematics,Finite field,Secret sharing,Quadratic form,Quadratic function,Linear code,Image (mathematics),Prime power,Mathematics
DocType
Volume
Citations 
Journal
abs/1601.06375
0
PageRank 
References 
Authors
0.34
21
2
Name
Order
Citations
PageRank
Xiaoni Du118216.46
Yunqi Wan200.68