The complete hierarchical locality of the punctured Simplex code

Loading...
Thumbnail Image
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2021-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
Series
Designs, Codes, and Cryptography
Abstract
This paper presents a new alphabet-dependent bound for codes with hierarchical locality. Then, the complete list of possible localities is derived for a class of codes obtained by deleting specific columns from a Simplex code. This list is used to show that these codes are optimal codes with hierarchical locality.
Description
Keywords
Alphabet-dependent bound, Hierarchical locality, Matroid theory, Simplex code
Other note
Citation
Grezet , M & Hollanti , C 2021 , ' The complete hierarchical locality of the punctured Simplex code ' , Designs, Codes, and Cryptography , vol. 89 , no. 1 , pp. 105-125 . https://doi.org/10.1007/s10623-020-00810-2