Method of transforming serial scrambler to parallel...

Cryptography – Communication system using cryptography – Time segment interchange

Reexamination Certificate

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Reexamination Certificate

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07639801

ABSTRACT:
A method of transforming a serial scrambler to a parallel scrambler, a parallel scrambler and a double-edge-triggered register with XOR operation are provided. The method transforms a serial scrambler to a parallel scrambler according to a characteristic polynomial:P⁡(x)=∑q=0N⁢cq⁢xq⁢⁢or⁢⁢b⁡(i)=∑q=1N⁢cq⁢b⁡(i-q).The method first determines a transformation formula:b⁡(kN+i)=∑q=1N⁢cq⁢b⁡((k-R)⁢N+i+R⁡(N-q))according to the parameters of the characteristic polynomial. The parallel bits Bj=[bMj, bMj+1, . . . , bMj+M−2, bMj+M−1] are arranged in order. The transformation number R=2t(the initial number of t is 0) is set. The parallel bits are replaced by the transformation formula. When (k−R)N+i+R(N−q) is larger than Mj−1 in the transformation formula, 1 is added to t in the transformation formula R=2tand the transformation formula is re-counted. Finally, the XOR gates are connected to the registers according to a computed result from the transformation formula.

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patent: 7092979 (2006-08-01), Shim
patent: 7139344 (2006-11-01), Crutchfield et al.
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patent: 2002/0196884 (2002-12-01), Crutchfield et al.
patent: 2004/0202174 (2004-10-01), Kim et al.

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