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:
Aug. 05, 2008

Filed:

Sep. 30, 2003
Applicants:

Frédéric Lehobey, Rennes, FR;

Philippe Piret, Cesson-Sevigne, FR;

Inventors:

Frédéric Lehobey, Rennes, FR;

Philippe Piret, Cesson-Sevigne, FR;

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

A method of decoding a one-point algebraic geometric code of dimension k and length n, in which, in order to identify the position of the errors in a received word, the syndromes matrix S, of size (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. Matrices Sare constructed for the successive values of u starting with S=S, and, for u>1, each matrix Sis obtained by performing on the matrix S, column permutations where appropriate, then linear manipulations involving the line of index u. These steps are performed in such a manner as to find a matrix Swhich has a line of index less than or equal to λ of which the elements are zero in the first w(λ) columns. The invention also relates to devices and apparatuses adapted to implement this method.


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