Message encoding and retrieval for spread and cyclic orbit codes
نویسندگان
چکیده
منابع مشابه
Message encoding and retrieval for spread and cyclic orbit codes
Spread codes and cyclic orbit codes are special families of constant dimension subspace codes. These codes have been wellstudied for their error correction capability, transmission rate and decoding methods, but the question of how to encode and retrieve messages has not been investigated. In this work we show how a message set of consecutive integers can be encoded and retrieved for these two ...
متن کاملMessage encoding for spread and orbit codes
Spread codes and orbit codes are special families of constant dimension subspace codes. These codes have been wellstudied for their error correction capability and transmission rate, but the question of how to encode messages has not been investigated. In this work we show how the message space can be chosen for a given code and how message enand decoding can be done.
متن کاملCyclic Orbit Codes with the Normalizer of a Singer Subgroup
An algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recently. In this paper, we consider the normalizer of a Singer subgroup of the general linear group a...
متن کاملCyclic orbit codes and stabilizer subfields
Cyclic orbit codes are constant dimension subspace codes that arise as the orbit of a cyclic subgroup of the general linear group acting on subspaces in the given ambient space. With the aid of the largest subfield over which the given subspace is a vector space, the cardinality of the orbit code can be determined, and estimates for its distance can be found. This subfield is closely related to...
متن کاملcyclic orbit codes with the normalizer of a singer subgroup
an algebraic construction for constant dimension subspace codes is called orbit code. it arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. in particular orbit codes of a singer subgroup of the general linear group has investigated recently. in this paper, we consider the normalizer of a singer subgroup of the general linear group a...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2017
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-017-0377-x