Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Twisted Hermitian Codes
View through CrossRef
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional Schur squares, and we identify a subfamily of twisted Hermitian codes that achieves a Schur square dimension close to that of a random linear code. Twisted Hermitian codes allow one to work over smaller alphabets than those based on Reed–Solomon codes of similar lengths.
Title: Twisted Hermitian Codes
Description:
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen.
We demonstrate that these new codes can have high-dimensional Schur squares, and we identify a subfamily of twisted Hermitian codes that achieves a Schur square dimension close to that of a random linear code.
Twisted Hermitian codes allow one to work over smaller alphabets than those based on Reed–Solomon codes of similar lengths.
Related Results
Decoding of block and convolutional codes in rank metric
Decoding of block and convolutional codes in rank metric
Décodage des codes en bloc et des codes convolutifs en métrique rang
Les code en métrique rang attirent l’attention depuis quelques années en raison de leur applica...
Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds
Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds
Let (M1,g) and (M2,h) be two Hermitian manifolds. The twisted product Hermitian manifold (M1×M2f,G) is the product manifold M1×M2 endowed with the Hermitian metric G=g+f2h, where f...
Metric-induced non-Hermitian physics
Metric-induced non-Hermitian physics
I consider the longstanding issue of the hermiticity of the Dirac equation in curved spacetime. Instead of imposing hermiticity by adding ad hoc terms, I renormalize the field by a...
An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations
An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations
Recently, some research has been devoted to finding the explicit forms of the η-Hermitian and η-anti-Hermitian solutions of several kinds of quaternion matrix equations and their...
Rankin-Cohen Brackets for Hermitian Jacobi Forms and Hermitian Modular Forms
Rankin-Cohen Brackets for Hermitian Jacobi Forms and Hermitian Modular Forms
In this thesis, we define differential operators for Hermitian Jacobi forms and Hermitian modular forms over the Gaussian number field Q(i). In particular, we construct Rankin-Cohe...
Distance properties of polar codes : theory and applications
Distance properties of polar codes : theory and applications
Propriétés de distance des codes polaires : théorie et applications
Les codes correcteurs d'erreurs sont essentiels pour garantir des transmissions de données fiabl...
Linear codes invariant under cyclic endomorphisms
Linear codes invariant under cyclic endomorphisms
In this paper, we study linear codes invariant under a cyclic endomorphism [Formula: see text] called [Formula: see text]-cyclic codes. Since every cyclic endomorphism can be repre...
A Computational Study for Evaluating the Performance of Twisted Double Tube Heat Exchangers Fitted with Twisted Tape
A Computational Study for Evaluating the Performance of Twisted Double Tube Heat Exchangers Fitted with Twisted Tape
Twisted double-tube heat exchangers are promising in improving the heat transfer efficiency on the tube side, decreasing the pressure drop on the shell side, and reducing the size ...