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arXiv · 1905.11021

Subspace code constructions

Antonio Cossidente·Giuseppe Marino·Francesco Pavese
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Abstract

We improve on the lower bound of the maximum number of planes of ${\rm PG}(8,q)$ mutually intersecting in at most one point leading to the following lower bound: ${\cal A}_q(9, 4; 3) \ge q^{12}+2q^8+2q^7+q^6+q^5+q^4+1$ for constant dimension subspace codes. We also construct two new non-equivalent $(6, (q^3-1)(q^2+q+1), 4; 3)_q$ constant dimension subspace orbit-codes.

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Antonio Cossidente, Giuseppe Marino, Francesco Pavese. 2019-05-27. Subspace code constructions. https://arxiv.org/abs/1905.11021

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