View in EDS

Some Punctured Codes of Several Families of Binary Linear Codes.

Saved in:

Bibliographic Details
Title:	Some Punctured Codes of Several Families of Binary Linear Codes.
Authors:	Wang, Xiaoqiang, Zheng, Dabin, Ding, Cunsheng
Source:	IEEE Transactions on Information Theory; Aug2021, Vol. 67 Issue 8, p5133-5148, 16p
Subject Terms:	BINARY codes, LINEAR codes, BENT functions, FINITE fields, BOOLEAN functions, FAMILIES
Abstract:	Two general constructions of linear codes with functions over finite fields have been extensively studied in the literature. The first one is given by C(ƒ) = {Tr(aƒ(x) + bx)x∈Fqm: a, b ∈ Fqm}, where q is a prime power, Fqm = Fqm \ {0}, Tr is the trace function from Fqm to Fq, and ƒ(x) is a function from Fqm to Fqm with ƒ(0) = 0. Almost bent functions, quadratic functions and some monomials on F2m were used in the first construction, and many families of binary linear codes with few weights were obtained in the literature. This paper studies some punctured codes of these binary codes. Several families of binary linear codes with few weights and new parameters are obtained in this paper. Several families of distance-optimal binary linear codes with new parameters are also produced in this paper. [ABSTRACT FROM AUTHOR]
	Copyright of IEEE Transactions on Information Theory is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database:	Complementary Index

Full Text Finder

Nájsť tento článok vo Web of Science

Be the first to leave a comment!