Relative generalized Hamming weights over Frobenius rings

Dajian Liao and Zihui Liu ()
Additional contact information
Dajian Liao: Jiangsu Ocean University
Zihui Liu: Beijing Institute of Technology

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 2, 340-348

Abstract: Abstract We show that a commutative ring which can be applied to the wire-tap channel of type II with the coset coding scheme is a Frobenius one. Relative generalized Hamming weights (RGHWs) are then generalized to codes over Frobenius rings. The basic properties and descriptions of RGHWs for codes over Frobenius rings are presented.

Keywords: relative generalized Hamming weights; Frobenius rings; wire-tap channel; the coset coding scheme; 94B05 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00002-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:53:y:2022:i:2:d:10.1007_s13226-021-00002-1

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00002-1

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().