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D.10.2.18 decodeRandomFL
Procedure from library decodegb.lib (see decodegb_lib).
- Usage:
- decodeRandomFL(redun,p,e,n,t,ncodes,ntrials,minpol);
| | - n is length of codes generated,
- redun = redundancy of codes generated,
- p is the characteristic,
- e is the extension degree,
- t is the number of errors to correct,
- ncodes is the number of random codes to be processed,
- ntrials is the number of received vectors per code to be corrected,
- minpol: due to some peculiarities of SINGULAR one needs to provide
minimal polynomial for the extension explicitly
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- Return:
- nothing
Example:
| | LIB "decodegb.lib";
// correcting one error for one random binary code of length 25,
// redundancy 14; 10 words are processed
decodeRandomFL(25,14,2,1,1,1,10,"");
==> Codeword:
==> 1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0
==> Received word
==> 1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0
==> Groebner basis of the FL system:
==> x1(1)+1,
==> x1(2),
==> x1(3),
==> x1(4),
==> x1(5)+1,
==> e(1)+1
==> Codeword:
==> 1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0
==> Received word
==> 1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0
==> Groebner basis of the FL system:
==> x1(1),
==> x1(2)+1,
==> x1(3)+1,
==> x1(4),
==> x1(5),
==> e(1)+1
==> Codeword:
==> 0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0
==> Received word
==> 0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0
==> Groebner basis of the FL system:
==> x1(1),
==> x1(2)+1,
==> x1(3),
==> x1(4),
==> x1(5),
==> e(1)+1
==> Codeword:
==> 0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1
==> Received word
==> 0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1
==> Groebner basis of the FL system:
==> x1(1),
==> x1(2),
==> x1(3)+1,
==> x1(4),
==> x1(5),
==> e(1)+1
==> Codeword:
==> 1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1
==> Received word
==> 1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1
==> Groebner basis of the FL system:
==> x1(1),
==> x1(2)+1,
==> x1(3)+1,
==> x1(4),
==> x1(5)+1,
==> e(1)+1
==> Codeword:
==> 0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0
==> Received word
==> 0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0
==> Groebner basis of the FL system:
==> x1(1)+1,
==> x1(2),
==> x1(3)+1,
==> x1(4),
==> x1(5),
==> e(1)+1
==> Codeword:
==> 1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1
==> Received word
==> 1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1
==> Groebner basis of the FL system:
==> x1(1),
==> x1(2),
==> x1(3)+1,
==> x1(4)+1,
==> x1(5)+1,
==> e(1)+1
==> Codeword:
==> 0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1
==> Received word
==> 0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1
==> Groebner basis of the FL system:
==> x1(1),
==> x1(2)+1,
==> x1(3),
==> x1(4),
==> x1(5),
==> e(1)+1
==> Codeword:
==> 0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1
==> Received word
==> 0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0
==> Groebner basis of the FL system:
==> x1(1)+1,
==> x1(2)+1,
==> x1(3),
==> x1(4),
==> x1(5),
==> e(1)+1
==> Codeword:
==> 1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1
==> Received word
==> 1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1
==> Groebner basis of the FL system:
==> x1(1)+1,
==> x1(2),
==> x1(3)+1,
==> x1(4),
==> x1(5)+1,
==> e(1)+1
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