Randomizer systems for producing multiple-symbol randomizing...

Details Randomizer systems for producing multiple-symbol randomizing... Randomizer systems for producing multiple-symbol randomizing...

2005-11-22

2005-11-22

Lamarre, Guy J. (Department: 2133)

Error detection/correction and fault detection/recovery

Pulse or data error handling

Digital data error correction

C714S789000, C708S252000, C708S492000, C380S030000

Reexamination Certificate

active

06968493

ABSTRACT:
A system that produces one or more non-repeating randomizer sequences of up to 2m−1 or more m-bit symbols includes a randomizer circuit that is set up in accordance with a polynomial with primitive elements of GF(2m) as coefficients. The system combines the randomizer sequence with all the symbols of ECC code words that are encoded using a BCH code over GF(2m) to produce a randomized code word. The particular primitive elements used and/or an initial state of one or more registers in the system specifies the particular sequence produced by the system. The initial state of each of the one or more registers is a selected one of the 2m−1 elements of GF(2m), and thus, 2m−1 different sequences may be produced by selecting a different initial state for a given one of the registers. If the coefficients are also selected from, for example, a set of “p” possible values, the system produces p*(2m−1) different sequences. The system may thus be used to encrypt the ECC code word by associating the code word with a particular selected initial state and/or coefficient. The coefficients may be selected to produce randomizer sequences that are predetermined minimum distances away from both the ECC code words.

REFERENCES:
patent: 5796776 (1998-08-01), Lomp et al.
patent: 6038577 (2000-03-01), Burshtein
Interlando, J.C. et al. ‘On the decoding of Reed-Solomon and BCH codes over integer residue rings;’ IEEE Transactions on Information Theory; May 1997;Vol.: 43 , Issue: 3;On page(s): 1013-1021.

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