Paper Info
Title
On components of the Kerdock codes and the dual of the BCH code C1,3
Abstract
In the paper we investigate the structure of i-components of two classes of codes: the Kerdock codes and the duals of the linear uniformly packed codes with parameters of the primitive double-error-correcting BCH code. We prove that for any admissible length the punctured Kerdock code consists of two i-components and the duals of the linear uniformly packed codes with parameters of the primitive double-error-correcting BCH code is an i-component for any i. We give an alternative proof for the fact presented by De Caen and van Dam in 1999 that the restrictions of the Hamming scheme to the doubly shortened Kerdock codes are association schemes.
Year
DOI
Venue
2018
10.1016/j.disc.2019.111668
Discrete Mathematics
Keywords
DocType
Volume
Kerdock code,BCH code,Uniformly packed code,Association scheme,i-component,t–design
Journal
343
Issue
ISSN
Citations 
2
0012-365X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Ivan Yu. Mogilnykh1368.74
Faina I. Solov'eva25914.78