Geodesic
Some Properties of the Rank and Invariant Factors of Matrices*
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 85-96

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Some years ago, G. Pall observed that the invariant factors of the incidence matrices of a certain pair of non-isomorphic projective planes of order 9 were different. With the aim of investigating such phenomena experimentally, we have constructed a code to calculate the invariant factors of rational integral matrices (actually, we compute the Smith's normal form of these matrices, as described, e.g., in MacDuffee [2; p. 41]), and this note is in the nature of a report on some preliminary experiments in the use of this code. In particular, we have computed the invariant factors of all (0, 1) matrices of order ≤ 8, with constant row and column sums, and these data are presented in the Appendix. 
Gomory, R.E.; Hoffman, A.J.; Hsu, N.C. Some Properties of the Rank and Invariant Factors of Matrices*. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 85-96. doi: 10.4153/CMB-1964-011-2
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     title = {Some {Properties} of the {Rank} and {Invariant} {Factors} of {Matrices*}},
     journal = {Canadian mathematical bulletin},
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     year = {1964},
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