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    • 9. 发明申请
    • Identifying uncorrectable codewords in a Reed-Solomon decoder for errors and erasures
    • 在Reed-Solomon解码器中识别不可纠正的码字以进行错误和擦除
    • US20060174181A1
    • 2006-08-03
    • US10632123
    • 2003-07-30
    • David BanksJonathan JedwabJames Davis
    • David BanksJonathan JedwabJames Davis
    • H03M13/00
    • H03M13/1585H03M13/15H03M13/1515H03M13/157H03M13/1575
    • In a Reed-Solomon decoder handling both errors and erasures, an uncorrectable codeword is identified when any one or more of six conditions (a) to (f) is satisfied: (a) no solution to key equation σ(x)T(x)≡(x)modx2T; (b) degσ(x)≠nerrors; (c) error and erasure locations coincide; (d) deg ω(x)≧nerrors+nerasures; (e) nerasures+2*nerrors>2T; and (f) an error location has a zero correction magnitude. Nerrors and nerasures represent, respectively, a number of errors and erasures, with respect to an error locator polynomial σ(x) and an erasure locator polynomial Λ(x), 2T is the strength of a Reed-Solomon code, ω(x) is an errata evaluator polynomial, and T(x) is a modified syndrome polynomial. A detector circuit 300 comprises a logic unit 350 which tests for the conditions (a) to (g), and an indicator unit 360 which provides a corresponding output.
    • 在处理错误和擦除两者的Reed-Solomon解码器中,当满足六个条件(a)至(f)中的任何一个或多个时,识别出不可校正的码字:(a)对密钥方程sigma(x)T(x )≡(x)modx 2T = nerrors + nerasures; (e)nalsures + 2 * nerrors> 2T; 和(f)误差位置具有零校正量值。 相对于误差定位多项式σ(x)和擦除定位多项式λ(x),误差和误差分别表示许多误差和擦除,2T是Reed-Solomon码的强度,ω(x) 是勘误评估多项式,T(x)是修正的校正子多项式。 检测器电路300包括测试条件(a)至(g)的逻辑单元350以及提供相应输出的指示器单元360。