Line Hermitian Grassmann Codes and their Parameters

2017/06/30 by Cardinali, Ilaria, Giuzzi, Luca · 2 citations
#14M15 #94B05 #94B27 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1706.10255

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≠5.

Cited by

• On minimal codes arising from projective embeddings of point-line geometries
• Linear codes arising from the point-hyperplane geometry -- Part II: the twisted embedding
• Linear codes arising from the point-hyperplane geometry-Part I: the Segre embedding

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