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Title: Reduced circuit implementation of encoder and syndrome generator

Abstract

An error correction method and system includes an Encoder and Syndrome-generator that operate in parallel to reduce the amount of circuitry used to compute check symbols and syndromes for error correcting codes. The system and method computes the contributions to the syndromes and check symbols 1 bit at a time instead of 1 symbol at a time. As a result, the even syndromes can be computed as powers of the odd syndromes. Further, the system assigns symbol addresses so that there are, for an example GF(2.sup.8) which has 72 symbols, three (3) blocks of addresses which differ by a cube root of unity to allow the data symbols to be combined for reducing size and complexity of odd syndrome circuits. Further, the implementation circuit for generating check symbols is derived from syndrome circuit using the inverse of the part of the syndrome matrix for check locations.

Inventors:
;
Issue Date:
Research Org.:
International Business Machines Corp., Armonk, NY (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1132563
Patent Number(s):
8,739,006
Application Number:
13/168,559
Assignee:
International Business Machines Corporation (Armonk, NY)
DOE Contract Number:  
B554331
Resource Type:
Patent
Resource Relation:
Patent File Date: 2011 Jun 24
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Trager, Barry M, and Winograd, Shmuel. Reduced circuit implementation of encoder and syndrome generator. United States: N. p., 2014. Web.
Trager, Barry M, & Winograd, Shmuel. Reduced circuit implementation of encoder and syndrome generator. United States.
Trager, Barry M, and Winograd, Shmuel. Tue . "Reduced circuit implementation of encoder and syndrome generator". United States. https://www.osti.gov/servlets/purl/1132563.
@article{osti_1132563,
title = {Reduced circuit implementation of encoder and syndrome generator},
author = {Trager, Barry M and Winograd, Shmuel},
abstractNote = {An error correction method and system includes an Encoder and Syndrome-generator that operate in parallel to reduce the amount of circuitry used to compute check symbols and syndromes for error correcting codes. The system and method computes the contributions to the syndromes and check symbols 1 bit at a time instead of 1 symbol at a time. As a result, the even syndromes can be computed as powers of the odd syndromes. Further, the system assigns symbol addresses so that there are, for an example GF(2.sup.8) which has 72 symbols, three (3) blocks of addresses which differ by a cube root of unity to allow the data symbols to be combined for reducing size and complexity of odd syndrome circuits. Further, the implementation circuit for generating check symbols is derived from syndrome circuit using the inverse of the part of the syndrome matrix for check locations.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2014},
month = {5}
}

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