Abstract
We show that if θ is the set of coordinate forms of a three-weight linear projective code C(n,k), and if X-F*θ is a 5-sum-set then the three weights are in arithmetical progression, that is, w1=w2-A and w3=w2+ A with A a function which depends of the number of words of weight three in C⊥(n,n-k). Furthermore we obtain some relations between s-sum-sets (s odd) and their parameters.
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© 1988 Springer-Verlag Berlin Heidelberg
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Griera, M. (1988). On s-sum-sets (s odd) and three-weight projective codes. In: Beth, T., Clausen, M. (eds) Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra. AAECC 1986. Lecture Notes in Computer Science, vol 307. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039180
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DOI: https://doi.org/10.1007/BFb0039180
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