Research Article

Codes Defined via Especial Matrices over the Ring and Hadamard Codes

Volume: 5 Number: 1 April 30, 2017
EN

Codes Defined via Especial Matrices over the Ring and Hadamard Codes

Abstract

In this study, certain matrices are obtained using the elements of a finite chain ring. Then using these matrices as generator matrices; certain codes and their duals are obtained. Moreover relations between these codes, binary codes and Hadamard codes are explained.

Keywords

Hadamard Codes,Gray Map,Codes Over Rings

References

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APA
Özkan, M., & Öke, F. (2017). Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Mathematical Sciences and Applications E-Notes, 5(1), 93-98. https://doi.org/10.36753/mathenot.421710
AMA
1.Özkan M, Öke F. Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Math. Sci. Appl. E-Notes. 2017;5(1):93-98. doi:10.36753/mathenot.421710
Chicago
Özkan, Mustafa, and Figen Öke. 2017. “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”. Mathematical Sciences and Applications E-Notes 5 (1): 93-98. https://doi.org/10.36753/mathenot.421710.
EndNote
Özkan M, Öke F (April 1, 2017) Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Mathematical Sciences and Applications E-Notes 5 1 93–98.
IEEE
[1]M. Özkan and F. Öke, “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”, Math. Sci. Appl. E-Notes, vol. 5, no. 1, pp. 93–98, Apr. 2017, doi: 10.36753/mathenot.421710.
ISNAD
Özkan, Mustafa - Öke, Figen. “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”. Mathematical Sciences and Applications E-Notes 5/1 (April 1, 2017): 93-98. https://doi.org/10.36753/mathenot.421710.
JAMA
1.Özkan M, Öke F. Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Math. Sci. Appl. E-Notes. 2017;5:93–98.
MLA
Özkan, Mustafa, and Figen Öke. “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”. Mathematical Sciences and Applications E-Notes, vol. 5, no. 1, Apr. 2017, pp. 93-98, doi:10.36753/mathenot.421710.
Vancouver
1.Mustafa Özkan, Figen Öke. Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Math. Sci. Appl. E-Notes. 2017 Apr. 1;5(1):93-8. doi:10.36753/mathenot.421710