gap> LogTo("/home/irons/gapfiles/TraceCode.glog");
#I  Already logging to /home/irons/gapfiles/TraceCode.glog
gap> F:=GF(4);
GF(2^2)
gap> FF:=GF(16);
GF(2^4)
gap> C:=RandomLinearCode(10,4,FF);
a  [10,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
Variable: 'TraceCode' must have a value

0

brk> ##inserted via emacs to test gap2latex.py
gap> CodeLength:= function (C)
> return WordLength(C);
> end;
function( C ) ... end
gap> 
gap> TraceCode:= function (C,F)
> #C is defined over an extension of F
> #F is a base field
> local FF, TC, TrC, i, n, c;
> n:= CodeLength(C);
> FF:= LeftActingDomain(C);
> TC:= List(C,c->Codeword(List([1..n],i->Trace(FF,F,c[i]))));
> TrC:=ElementsCode(TC, F);
> IsLinearCode(TrC);
> return TrC;
> end;
function( C, F ) ... end
gap> TC:=TraceCode(C,F);time;
a linear [10,8,1]1..2 user defined unrestricted code over GF(4)
26072
gap> C:=RandomLinearCode(10,4,FF);
a  [10,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [10,8,1..2]1..2 user defined unrestricted code over GF(4)
29663
gap> MinimumDistance(TC);
2
gap> MinimumDistance(C);
5
gap> C:=RandomLinearCode(10,4,FF);
a  [10,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [10,8,1..2]1..2 user defined unrestricted code over GF(4)
32259
gap> MinimumDistance(C);
6
gap> MinimumDistance(TC);
2
gap> C:=RandomLinearCode(10,4,FF);
a  [10,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [10,8,1..2]1..2 user defined unrestricted code over GF(4)
32021
gap> MinimumDistance(TC);
2
gap> MinimumDistance(C);
6
gap> C:=RandomLinearCode(10,4,FF);
a  [10,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [10,8,1..2]1..2 user defined unrestricted code over GF(4)
34295
gap> MinimumDistance(C);
5
gap> MinimumDistance(TC);
2
gap> C:=RandomLinearCode(10,4,FF);
a  [10,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [10,8,1..2]1..2 user defined unrestricted code over GF(4)
39789
gap> MinimumDistance(TC);
2
gap> MinimumDistance(C);
6
gap> C:=RandomLinearCode(12,4,FF);
a  [12,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [12,8,1..3]2..4 user defined unrestricted code over GF(4)
33550
gap> MinimumDistance(C);
7
gap> MinimumDistance(TC);
3
gap> C:=RandomLinearCode(12,4,FF);
a  [12,4,?] randomly generated code over GF(16)
gap> TC
> ;
a linear [12,8,3]2..4 user defined unrestricted code over GF(4)
gap> TC:=TraceCode(C,F);time;
a linear [12,8,1..3]2..4 user defined unrestricted code over GF(4)
37376
gap> MinimumDistance(TC);
3
gap> MinimumDistance(C);
7
gap> C:=RandomLinearCode(12,4,FF);
a  [12,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [12,8,1..3]2..4 user defined unrestricted code over GF(4)
38853
gap> MinimumDistance(C);
7
gap> MinimumDistance(TC);
3
gap> C:=RandomLinearCode(14,4,FF);
a  [14,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [14,8,1..4]3..6 user defined unrestricted code over GF(4)
38631
gap> MinimumDistance(TC);
3
gap> MinimumDistance(C);
9
gap> C:=RandomLinearCode(14,4,FF);
a  [14,4,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
a linear [14,8,1..3]3..6 user defined unrestricted code over GF(4)
37242
gap> MinimumDistance(C);
9
gap> MinimumDistance(TC);
3
gap> C:=RandomLinearCode(14,5,FF);
a  [14,5,?] randomly generated code over GF(16)
gap> C:=RandomLinearCode(12,5,FF);
a  [12,5,?] randomly generated code over GF(16)
gap> TC:=TraceCode(C,F);time;
exceeded the permitted memory (`-o' command line option) at
i := i + 1;
 called from
List( mat, ShallowCopy ) called from
BaseMat( VectorCodeword( AsSSortedList( C ) ) ) called from
IsLinearCode( TrC ); called from
<function>( <arguments> ) called from read-eval-loop
Entering break read-eval-print loop ...
you can 'quit;' to quit to outer loop, or
you can 'return;' to continue
brk> gap> 
gap> 
gap>