Abstract
In this paper, we investigate the algebraic structure of the non-local ring $\mathcal{R}_q = \mathbb{F}_q[v]/\langle v^{2}+1\rangle$ and identify the automorphisms of this ring to study the algebraic structure of the skew cyclic codes and their duals over it.
Keywords
Dual polyhedron
Automorphism
Skew
Ring (chemistry)
Mathematics
Combinatorics
Algebraic number
Chain (unit)
Type (biology)
Physics
Discrete mathematics
Mathematical analysis
Quantum mechanics
Subject Areas
Coding theory and cryptography
·Artificial Intelligence ·Physical Sciences
graph theory and CDMA systems
·Electrical and Electronic Engineering ·Physical Sciences
Finite Group Theory Research
·Discrete Mathematics and Combinatorics ·Physical Sciences
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