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A catalog of minimally nonideal matrices. (English) Zbl 0928.15011
This paper describes a backtracking algorithm for the enumeration of nonisomorphic minimally nonideal $$n\times n$$-matrices that are not degenerate projective planes. The application of this algorithm for $$n\leq 12$$ yielding 20 such matrices, adding 5 matrices to the previously known. For greater dimensions, $$n=14$$ and $$n=17$$, 13 new matrices are given. For nonsquare matrices, 38 new minimally nonideal matrices are described.
Reviewer: G.Bonanno (Davis)

##### MSC:
 15B36 Matrices of integers
##### Keywords:
nonideal matrices; backtracking algorithm; enumeration
cdd
Full Text:
##### References:
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