[GAP Forum] about automorphism group of linear codes

[Gordon Royle]

LoadPackage("guava");
gap> C1 := GeneratorMatCode( [ [0,0,1,1], [1,1,0,0] ], GF(2));
a linear [4,2,1..2]1..2 code defined by generator matrix over GF(2)
gap> AutomorphismGroup(C1);
Group([ (3,4), (1,4)(2,3) ])




On 25/10/2011, at 10:29 AM, Vo Tam Van wrote:

> Hi every body
> 
> I am looking for the source code of computing the automorphism group
> of linear code. For example, the binary linear code
> C = { [0,0,0,0]; [0,0,1,1]; [1,1,0,0]; [1,1,1,1]} has the permutation
> group of order 8. Please teach me how to write GAP program to
> compute automorphism of linear code C. Any comments and helps are
> highly appreciated. Thanks alot.
> 
> Tam Van
> 
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Professor Gordon Royle
School of Mathematics and Statistics
University of Western Australia
Gordon.Royle at uwa.edu.au