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Renormalization Group Approach To Error-Correcting Codes | | Jonathan Yedidia
; Jean-Philippe Bouchaud
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26 Jun 2001 | | Subject: | cond-mat | | Affiliation: | MERL), Jean-Philippe Bouchaud (CEA-Saclay | | Abstract: | We explain an algorithm that approximately but efficiently assesses particular parity-check error-correcting codes of large, but finite, blocklength. This algorithm is based on the ``renormalization-group’’ approach from physics: the idea is to continually replace an error-correcting code with a simpler error-correcting code that has nearly identical performance, until the code is reduced to a small enough size that its performance can be computed exactly. This assessment algorithm can be used as a subroutine in a more general algorithm to search for optimal error-correcting codes of specified blocklength and rate. | | Source: | arXiv, cond-mat/0106540 | | Services: | Forum | Review | PDF | Favorites | |
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