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:
Apr. 28, 2009

Filed:

Mar. 30, 2005
Applicants:

Masaharu Kondou, Kanagawa, JP;

Hideki Sawaguchi, Tokyo, JP;

Inventors:

Masaharu Kondou, Kanagawa, JP;

Hideki Sawaguchi, Tokyo, JP;

Attorneys:
Primary Examiner:
Int. Cl.
CPC ...
H03M 13/03 (2006.01);
U.S. Cl.
CPC ...
Abstract

Embodiment of the invention is to make the number of interleave sequences and the number of redundant bits as small as possible without increasing the number of bits per symbol so much. By encoding data into an error-correcting code by using an algebraic geometric code consisting of an algebraic curve surface having a genus g over a projective plane P(GF()), where m is a positive integer, the code up to a length of 22g is constructed. In particular, by using a 'Fermat code,' a version of the algebraic geometric code, consisting of a Fermat curve 'C: X+Y+Z=0' over the P(GF(2)), where (m, L)=(5, 11), 4-Kbyte data constituting one sector can be encoded into the code made up of 10-bit symbols.


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