System and method for generating cyclic codes for error...

Error detection/correction and fault detection/recovery – Pulse or data error handling – Digital data error correction

Reexamination Certificate

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C708S492000, C714S757000

Reexamination Certificate

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06895545

ABSTRACT:
A K-bit information signal represented by a polynomial U(x) having a degree K−1 is received. The information signal is transformed to form a transformed information signal using a first transform represented by a polynomial G1(x) having a degree P. The transformed information signal is represented by a polynomial T(x) having a degree K+P−1. T(x) equals U(x)G1(x). An initial cyclic code represented by a polynomial R1(x) is generated for the transformed information signal using a second transform represented by a polynomial G2(x), where G2(x) has high-order leading-zero terms. R1(x) equals the remainder obtained by dividing T(x) by G2(x). The initial cyclic code is transformed to form a final cyclic code represented by a polynomial R2(x) using the first transform. R2(x) equals R1(x)/G1(x).

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