25 citations · 68 across the 8 of their papers we have counts for
8 papers
Reversible DNA codes over F_{16}+uF_{16}+vF_{16}+uvF_{16}
Fatmanur Gürsoy, Elif Segah Oztas, Irfan Siap
In this paper we study the structure of specific linear codes called DNA codes. The first attempts on studying such codes have been proposed over four element rings which are natur…
Reversible DNA Codes Using Skew Polynomial Rings
Fatmanur Gursoy, Elif Segah Oztas, Irfan Siap
In this study we determine the structure of reversible DNA codes obtained from skew cyclic codes. We show that the generators of such DNA codes enjoy some special properties. We st…
Optimal Codes from Fibonacci Polynomials and Secret Sharing Schemes
Mehmet E. Koroglu, Ibrahim Ozbek, Irfan Siap
In this work, we study cyclic codes that have generators as Fibonacci polynomials over finite fields. We show that these cyclic codes in most cases produce families of maximum dist…
New extremal binary self-dual codes from F_4 + uF_4-lifts of quadratic double circulant codes over F_4
Abidin Kaya, Bahattin Yildiz, Irfan Siap
In this work, quadratic double and quadratic bordered double circulant constructions are applied to F_4 + uF_4 as well as F_4, as a result of which extremal binary self-dual codes…
New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2
Abidin Kaya, Bahattin Yildiz, Irfan Siap
In this work, quadratic reside codes over the ring F2 +uF2 +u^2F2 with u^3 = u are considered. A duality and distance preserving Gray map from F2 + uF2 + u^2F2 to (F_2)^3 is define…
Quadratic Residue Codes over F_p+vF_p and their Gray Images
Abidin Kaya, Bahattin Yildiz, İrfan Siap
In this paper quadratic residue codes over the ring Fp + vFp are introduced in terms of their idempotent generators. The structure of these codes is studied and it is observed that…