Line Hermitian Grassmann Codes and their Parameters

June 30, 2017 · The Ethereal · 🏛 Finite Fields Their Appl.

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Authors Ilaria Cardinali, Luca Giuzzi arXiv ID 1706.10255 Category math.CO: Combinatorics Cross-listed cs.IT Citations 11 Venue Finite Fields Their Appl. Last Checked 2 months ago
Abstract
In this paper we introduce and study line Hermitian Grassmann codes as those subcodes of the Grassmann codes associated to the $2$-Grassmannian of a Hermitian polar space defined over a finite field of square order. In particular, we determine their parameters and characterize the words of minimum weight for $m\neq5$.
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