CharP.IMBBasis |
Syntax |
CharP.IMBBasisF2(F:LIST):LIST CharP.IMBBasisF2(F:LIST, NSol: INT):LIST |
Description |
Example |
Use Z/(2)[x[1..4]]; F:=[ x[1]x[2] + x[2]x[3] + x[2]x[4] + x[3]x[4] + x[1] + x[3] + 1, x[1]x[2] + x[1]x[3] + x[1]x[4] + x[3]x[4] + x[2] + x[3] + 1, x[1]x[2] + x[1]x[3] + x[2]x[3] + x[3]x[4] + x[1] + x[4] + 1, x[1]x[3] + x[2]x[3] + x[1]x[4] + x[2]x[4] + 1 ]; -- Then we compute a Border Basis with CharP.IMBBasisF2(F); The size of Matrix is: No. of Rows=4 No. of Columns=11 The size of Matrix is: No. of Rows=4 No. of Columns=11 Total No. of Mutants are = 0 The size of Matrix is: No. of Rows=12 No. of Columns=15 Total No. of Mutants are = 2 The No. of Mutants of Minimum degree (Mutants used) are = 1 The size of Matrix is: No. of Rows=14 No. of Columns=15 Total No. of Mutants are = 2 The No. of Mutants of Minimum degree (Mutants used) are = 1 The size of Matrix is: No. of Rows=16 No. of Columns=15 Total No. of Mutants are = 2 The No. of Mutants of Minimum degree (Mutants used) are = 1 The size of Matrix is: No. of Rows=17 No. of Columns=15 Total No. of Mutants are = 1 The No. of Mutants of Minimum degree (Mutants used) are = 1 The size of Matrix is: No. of Rows=17 No. of Columns=15 Total No. of Mutants are = 2 The No. of Mutants of Minimum degree (Mutants used) are = 2 The size of Matrix is: No. of Rows=18 No. of Columns=15 Total No. of Mutants are = 0 [x[4] + 1, x[3], x[2] + 1, x[1]] |
Example |
Use Z/(2)[x[1..4]]; F:=[ x[2]x[3] + x[1]x[4] + x[2]x[4] + x[3]x[4] + x[1] + x[2] + x[3] + x[4], x[2]x[3] + x[2]x[4] + x[3]x[4] + x[2] + x[3] + x[4], x[1]x[2] + x[2]x[3] + x[2]x[4] + x[3]x[4] + x[1] + x[2], x[1]x[2] + x[2]x[3] + x[2]x[4] + x[3]x[4] + x[1] + x[2] ]; NSol:=3; -- Solution is not unique i.e. [0, 1, 1, 1], [0, 0, 0, 0], and [1, 1, 1, 1] are solutions -- Compute the solution with CharP.IMBBasisF2(F,NSol); The size of Matrix is: No. of Rows=4 No. of Columns=9 The size of Matrix is: No. of Rows=7 No. of Columns=14 Total No. of Mutants are = 0 The size of Matrix is: No. of Rows=14 No. of Columns=14 The size of Matrix is: No. of Rows=11 No. of Columns=14 [x[3]x[4] + x[4], x[1]x[4] + x[1], x[1]x[3] + x[1], x[1]x[2] + x[1], x[2]x[3]x[4] + x[4], x[1]x[2]x[4] + x[1]] |
See Also |