Optimal subspace codes in ${\rm PG}(4,q)$

February 27, 2018 · The Ethereal · 🏛 Advances in Mathematics of Communications

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Authors Antonio Cossidente, Francesco Pavese, Leo Storme arXiv ID 1802.09793 Category math.CO: Combinatorics Cross-listed cs.IT Citations 3 Venue Advances in Mathematics of Communications Last Checked 6 months ago
Abstract
We investigate subspace codes whose codewords are subspaces of ${\rm PG}(4,q)$ having non-constant dimension. In particular, examples of optimal mixed-dimension subspace codes are provided, showing that ${\cal A}_q(5,3) = 2(q^3+1)$.
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