Affine Hermitian Grassmann Codes

Fernando Piñero González; Doel Rivera Laboy

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arXiv · 2110.08964

Affine Hermitian Grassmann Codes

Fernando Piñero González·Doel Rivera Laboy

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Abstract

The Grassmannian is an important object in Algebraic Geometry. One of the many techniques used to study the Grassmannian is to build a vector space from its points in the projective embedding and study the properties of the resulting linear code. We introduce a new class of linear codes, called Affine Hermitian Grassman Codes. These codes are the linear codes resulting from an affine part of the projection of the Polar Hermitian Grassmann codes. They combine Polar Hermitian Grassmann codes and Affine Grassmann codes. We will determine the parameters of these codes.

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BibTeX RIS

Fernando Piñero González, Doel Rivera Laboy. 2021-10-18. Affine Hermitian Grassmann Codes. https://arxiv.org/abs/2110.08964

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