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An Enumeration of Certain Projective Ternary Two‐Weight Codes
Authors:Michael Martis  John Bamberg  Sylvia Morris
Institution:Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, Australia
Abstract:We detail the enumeration of all two‐intersection sets of the five‐dimensional projective space over the field of order 3 that are invariant under an element of order 7, which include the examples of Hill (1973) and Gulliver (1996). Up to projective equivalence, there are 6,635 such two‐intersection sets.
Keywords:two‐intersection set  strongly regular graph  two‐weight codesubjclass[2010]Primary 05B25  51E12  05C12  05C38
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