On the Parameters of Codes with Two Homogeneous Weights

Abstract : Delsarte showed that for any projective linear code over a nite eld GF(pr) with two nonzero Hamming weights w1 < w2 there exist positive integers u and s such that w1 = psu and w2 = ps(u + 1). Moreover, he showed that the additive group of such a code has a strongly regular Cayley graph. Here we show that for any proper, regular, projective linear code C over a nite Frobenius ring with two integral nonzero homogeneous weights w1 < w2 there is a positive integer d, a divisor of jCj, and positive integer u such that w1 = du and w2 = d(u+1). In doing so, we present a new proof that any such code yields a strongly regular graph.
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Communication dans un congrès
WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.81-90, 2011
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Eimear Byrne, Alison Sneyd. On the Parameters of Codes with Two Homogeneous Weights. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.81-90, 2011. 〈inria-00607341〉

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