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Linear codes from ruled sets in finite projective spaces

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Abstract

We construct linear codes from projective systems of a finite projective space, arising by considering the points of the lines connecting point-sets chosen and fixed in two complementary subspaces. This construction allows to look for linear codes by choosing appropriate sets to get immediately length and minimum distance.

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Correspondence to Rita Vincenti.

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Communicated by J. W. P. Hirschfeld.

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Kroll, HJ., Vincenti, R. Linear codes from ruled sets in finite projective spaces. Des. Codes Cryptogr. 88, 747–754 (2020). https://doi.org/10.1007/s10623-019-00707-9

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  • DOI: https://doi.org/10.1007/s10623-019-00707-9

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