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D.10.2.1 sysCRHT

Procedure from library decodegb.lib (see decodegb_lib).

Usage:
sysCRHT(n,defset,e,q,m,[k]); n,e,q,m,k are int, defset list of int's
 
         - n length of the cyclic code,
         - defset is a list representing the defining set,
         - e the error-correcting capacity,
         - q field size
         - m degree extension of the splitting field,
         - if k>0 additional equations representing the fact that every two
         error positions are either different or at least one of them is zero

Return:
the ring to work with the CRHT-ideal (with Sala's additions), containig an ideal with name 'crht'

Theory:
Based on 'defset' of the given cyclic code, the procedure constructs the corresponding Cooper-Reed-Heleseth-Truong ideal 'crht'. With its help one can solve the decoding problem. For basics of the method Cooper philosophy.

Example:
 
See also: sysBin; sysNewton.


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