NDLI: A New Remainder Based Decoding Algorithm for Reed-Solomon Codes

Content Provider	IEEE Xplore Digital Library
Author	Yaghoobian, T. Blake, I.F.
Copyright Year	1993
Description	Author affiliation: University of Waterloo, Ontario (Yaghoobian, T.)
Abstract	Conventional decoding techniques for decoding cyclic codes require the computation of power sum syndromes which can often account for a significant portion of the decoder computations. Since the syndromes can be computed from the remainder polynomial, the polynomial obtained by dividing the received polynomial by the code generator polynomial, it follows that this polynomial contains all the information required to decode. Thus one might hope for a decoding technique that uses the remainder polynomial directly. Berlekamp and Welch have given such an algorithm which requires the sequential testing of the parity check locations and updating of four polynomials. Whiting in his doctoral thesis has given a modification of this procedure that makes more efficient the evaluation and updating of these polynomials. The present work derives a new algorithm using only the remainder polynomial. A new key equation is derived which may be solved by the usual Euclidean algorithm. The advantages of this approach are discussed and compared to the original algorithm and a performance of the algorithm in terms of computational and circuit complexity is considered.
Starting Page	96
Ending Page	96
File Size	108336
Page Count	1
File Format	PDF
ISBN	0780308786
DOI	10.1109/ISIT.1993.748411
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1993-01-17
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decoding Reed-Solomon codes Polynomials Power engineering computing Equations Sequential analysis Lagrangian functions Complexity theory Parity check codes Helium
Content Type	Text
Resource Type	Article

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

On cauchy matrices for remainder decoding of reed-solomon codes

On decoding doubly extended Reed-Solomon codes

Hardware implementation of soft-decision decoding for Reed-Solomon code

A Reliability-Based Reed-Solomon Decoding Algorithm for Magnetic Recording Channels

An Interpolation Algorithm using Gröbner Bases for Soft-Decision Decoding of Reed-Solomon Codes

Parity Check based redistribution of secret shares

A new progressive algebraic soft decoding algorithm for reed-solomon codes

Decoding binary BCH codes

Time domain decoding of extended Reed-Solomon codes

A New Remainder Based Decoding Algorithm for Reed-Solomon Codes

Similar Documents

On cauchy matrices for remainder decoding of reed-solomon codes

On decoding doubly extended Reed-Solomon codes

Hardware implementation of soft-decision decoding for Reed-Solomon code

A Reliability-Based Reed-Solomon Decoding Algorithm for Magnetic Recording Channels

An Interpolation Algorithm using Gröbner Bases for Soft-Decision Decoding of Reed-Solomon Codes

Parity Check based redistribution of secret shares

A new progressive algebraic soft decoding algorithm for reed-solomon codes

Decoding binary BCH codes

Time domain decoding of extended Reed-Solomon codes

A New Remainder Based Decoding Algorithm for Reed-Solomon Codes