29 citations · 81 across the 9 of their papers we have counts for
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An Algebraic Construction Technique for Codes over Hurwitz Integers
Ramazan Duran, Murat Guzeltepe
Let α be a prime Hurwitz integer. Hα, which is the set of residual class with respect to related modulo function in the rings of Hurwitz integers, is a subset of H, which is the se…
Erratum to "Lattice constellation and codes from quadratic number fields" [IEEE Trans. Inform. Theory, vol. 47, No. 4, May. 2001]
Murat Güzeltepe
We correct a partial mistake for a metric presented in the article "Lattice constellation and codes from quadratic number fields" [IEEE Trans. Inform. Theory, vol. 47, No. 4, May.…
Codes over Hurwitz integers
Murat Güzeltepe
In this study, we obtain new classes of linear codes over Hurwitz integers equipped with a new metric. We refer to the metric as Hurwitz metric. The codes with respect to Hurwitz m…
Perfect Mannheim, Lipschitz and Hurwitz weight codes
Murat Güzeltepe
In this paper, upper bounds on codes over Gaussian integers, Lipschitz integers and Hurwitz integers with respect to Mannheim metric, Lipschitz and Hurwitz metric are given.
Quantum codes from codes over Gaussian integers with respect to the Mannheim metric
Murat Güzeltepe, Mehmet Özen
In this paper, some nonbinary quantum codes using classical codes over Gaussian integers are obtained. Also, some of our quantum codes are better than or comparable with those know…
The MacWilliams Theorem for Four-Dimensional Modulo Metrics
Murat Guzeltepe, Mehmet Ozen
In this paper, the MacWilliams theorem is stated for codes over finite field with four-dimensional modulo metrics.
Cyclic Codes over Some Finite Quaternion Integer Rings
Murat Guzeltepe, Mehmet Ozen
In this paper, cyclic codes are established over some finite quaternion integer rings with respect to the quaternion Mannheim distance, and de- coding algorithm for these codes is…
Cyclic Codes over Some Finite Rings
Murat Guzeltepe, Mehmet Ozen
In this paper cyclic codes are established with respect to the Mannheim metric over some finite rings by using Gaussian integers and the decoding algorithm for these codes is given…
Codes over Quaternion Integers with Respect to Lipschitz Metric
Murat Guzeltepe, Mehmet Ozen
I want to withdraw this paper.