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Necessary and sufficient conditions for the existence of a class of partitions of a finite vector space

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Abstract

Necessary and sufficient conditions for the existence of a partition of a finite vector space over the finite field GF(p), where p is a prime, into subspaces where all but p of the subspaces have the same dimension, are presented.

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Authors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology, KTH, 100 44, Stockholm, Sweden

    Olof Heden

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  1. Olof Heden
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Correspondence to Olof Heden.

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Communicated by L. Teirlinck.

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Heden, O. Necessary and sufficient conditions for the existence of a class of partitions of a finite vector space. Des. Codes Cryptogr. 53, 69–73 (2009). https://doi.org/10.1007/s10623-009-9292-0

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  • DOI: https://doi.org/10.1007/s10623-009-9292-0

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