Article ID Journal Published Year Pages File Type
5777312 Electronic Notes in Discrete Mathematics 2017 6 Pages PDF
Abstract
In this note we charcterize all (3 mod 5)-arcs in PG(2, 5) of cardinality 18, 23, 28, 33, and 38. This characterization is used further to prove that every (3 mod 5)-arc in PG(3, 5) of cardinality at most 158 is lifted. This result is instrumental in prosving the nonexistence of the hypothetical [104, 4, 82]5 and [204, 4, 162]5-codes.
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Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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On the Characterization of (3 mod 5) Arcs
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