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arxiv: 1401.7414 · v1 · pith:W2POJ42Ynew · submitted 2014-01-29 · 🧮 math.CO

The Geometry of Homogeneous Two-Weight Codes

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keywords codestwo-weightfinitehomogeneouslinearregularstronglycase
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The results of [1,2] on linear homogeneous two-weight codes over finite Frobenius rings are exended in two ways: It is shown that certain non-projective two-weight codes give rise to strongly regular graphs in the way described in [1,2]. Secondly, these codes are used to define a dual two-weight code and strongly regular graph similar to the classical case of projective linear two-weight codes over finite fields [3].

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