Combined Constructions for Subspace Codes

Titelangaben

Kurz, Sascha:
Combined Constructions for Subspace Codes.
2023
Veranstaltung: SIAM Conference on Applied Algebraic Geometry (AG23) , 10.-14.07.2023 , Eindhoven, The Netherlands.
(Veranstaltungsbeitrag: Workshop , Vortrag )

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Abstract

Subspace codes are the q-analog of binary block codes in the Hamming metric. Here the codewords are vector spaces over a finite field. They have e.g. applications in random linear network coding, distributed storage, and cryptography.

We will describe some recent constructions for subspace codes from the literature in a general framework. We analyze the conditions under which these constructions can be combined. This way improved constructions for several parameters are obtained.