The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Jun. 24, 2008

Filed:

Dec. 16, 2004
Applicants:

Philippe Piret, Cesson-Sevigne, FR;

Frédéric Lehobey, Rennes, FR;

Philippe Le Bars, Thorigne-Fouillard, FR;

Inventors:

Philippe Piret, Cesson-Sevigne, FR;

Frédéric Lehobey, Rennes, FR;

Philippe Le Bars, Thorigne-Fouillard, FR;

Assignee:
Attorney:
Primary Examiner:
Assistant Examiner:
Int. Cl.
CPC ...
H03M 13/00 (2006.01);
U.S. Cl.
CPC ...
Abstract

Method and apparatus for decoding a one-point algebraic geometric code of dimension k and length n, in order to identify the position of the errors in a received word, the syndromes matrix S, of dimension (n−k)×(n−k) is defined, of which the elements Sof each line i are calculated, for j between 1 and w(i), where the boundary w is a decreasing function, using the syndromeof the received word, as well as the matrix S* obtained by 'extending' the matrix S, that is to say by calculating the value of certain elements S*where j is greater than w(i). This method makes it possible in certain favorable cases to find the erroneous positions of the received word when the number of errors is greater than (n−k+1−g)/2, even if it is not possible to calculate all the elements of S* conventionally required by a two-stage algorithm to perform that correction.


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