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    • 22. 发明授权
    • Recording/regenerating device, method of encoding error correction, method of recording data
    • 记录/再生装置,纠错编码方法,记录数据的方法
    • US07526716B2
    • 2009-04-28
    • US11094019
    • 2005-03-30
    • Masaharu KondouHideki Sawaguchi
    • Masaharu KondouHideki Sawaguchi
    • H03M13/03
    • H03M13/132H03M13/153H03M13/1575
    • 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 Pc−1(GF(2m)), where m is a positive integer, the code up to a length of 2m+21+m/2 g is constructed. In particular, by using a “Fermat code,” a version of the algebraic geometric code, consisting of a Fermat curve “C(L): XL+YL+ZL=0” over the P2(GF(22m)), where (m, L)=(5, 11), 4-Kbyte data constituting one sector can be encoded into the code made up of 10-bit symbols.
    • 本发明的实施例是使交织序列的数量和冗余比特的数量尽可能小,而不增加每个符号的比特数。 通过使用由投影平面Pc-1(GF(2m))上的g类的代数曲线表示的代数几何代码将数据编码成纠错码,其中m是正整数,代码直到 构建2m + 21 + m / 2g的长度。 特别地,通过使用代码几何代码的版本,由P2(GF(22m))上的费马曲线“C(L):XL + YL + ZL = 0”)组成,其中( m,L)=(5,11),构成一个扇区的4K字节数据可以被编码成由10位符号组成的码。