Abstract
In this paper, we define a family of Generalized Gaussian Numbers that gives the number of linear codes over Galois rings directly. Also, we study some of their properties and obtain some relations between them.
Keywords
Mathematics
Gaussian binomial coefficient
Gaussian
Galois theory
Discrete mathematics
Pure mathematics
Statistics
Poisson distribution
Subject Areas
Coding theory and cryptography
·Artificial Intelligence ·Physical Sciences
Error Correcting Code Techniques
·Computer Networks and Communications ·Physical Sciences
graph theory and CDMA systems
·Electrical and Electronic Engineering ·Physical Sciences
Citations by Year
2012: 1
2013: 2
2022: 1
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