"Source: Text/Code/CodeFld.text";
"Line: 2699";
"Date: Tue May 30 11:26:03 2023";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Code/CodeFld.text, line: 2699
// Example: H161E25 ()
print "Example: H161E25";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(GF(2));
n := 7;
F := Factorization(x^n-1);
F;
Gens := [ &*[F[i][1]:i in [1..k]] : k in [1..#F] ];
Gens;
Codes := [ CyclicCode(n, Gens[k]) : k in [1..#Gens] ];
Codes;
{ Codes[k+1] subset Codes[k] : k in [1..#Codes-1] };
SetEchoInput(ei);
