NDLI: One-point Klein codes and their serial-in-serial-out systematic encoding

Content Provider	Springer Nature Link
Author	Lu, Chung Chin Yang, Chih Yen
Copyright Year	2013
Abstract	In this paper, a construction of one-point Klein codes over finite field $$F_q$$ with $$q$$ a prime power is illustrated. A lot more good one-point Klein codes can be found than good three-point Klein codes in the literature. Many one-point Klein codes over $$F_q$$ are near-MDS long codes. Instead of using automorphisms to facilitate the decoding of the Klein codes, automorphisms are used to derive a systematic encoding for the Klein codes via Gröbner bases. This systematic encoding promises an efficient serial-in-serial-out hardware architecture for the encoder with considerably less complexity than the brute-force one.
Ending Page	197
Page Count	11
Starting Page	187
File Format	PDF
ISSN	09251022
e-ISSN	15737586
Journal	Designs, Codes and Cryptography
Issue Number	2
Volume Number	75
Language	English
Publisher	Springer US
Publisher Date	2013-12-08
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Gröbner bases Information and Communication, Circuits Data Structures, Cryptology and Information Theory Discrete Mathematics in Computer Science Data Encryption Algebraic-geometry codes Error-correcting codes Klein codes Systematic encoding Linear codes, general Coding and Information Theory Combinatorics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Discrete Mathematics and Combinatorics Theoretical Computer Science Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

One-point Klein codes and their serial-in-serial-out systematic encoding