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D.10.2.8 errorInsert
Procedure from library decodegb.lib (see decodegb_lib).
- Usage:
- errorInsert(y,pos,val); y is matrix, pos,val are list of int's
| | - y is a (code) word,
- pos = positions where errors occured,
- val = their corresponding values
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- Return:
- corresponding received word
Example:
| | LIB "decodegb.lib";
//correct 2 errors in [7,3] 8-ary code RS code
int t=2; int q=8; int n=7; int redun=4;
ring r=(q,a),x,dp;
matrix h_full=genMDSMat(n,a);
matrix h=submat(h_full,1..redun,1..n);
matrix g=dual_code(h);
matrix x[1][3]=0,0,1,0;
matrix y[1][7]=encode(x,g);
print(y);
==> a6,a6,a3,a,0,0,1
//disturb with 2 errors
matrix rec[1][7]=errorInsert(y,list(2,4),list(1,a));
print(rec);
==> a6,a2,a3,0,0,0,1
print(rec-y);
==> 0,1,0,a,0,0,0
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