25 citations · 116 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Linear Codes over Z_4+uZ_4: MacWilliams identities, projections, and formally self-dual codes
Bahattin Yildiz, Suat Karadeniz
Linear codes are considered over the ring Z_4+uZ_4, a non-chain extension of Z_4. Lee weights, Gray maps for these codes are defined and MacWilliams identities for the complete, sy…
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…
The automorphism group of the doubly-even [72,36,16] code can only be of order 1, 3 or 5
Steven T Dougherty, Suat Karadeniz, Bahattin Yildiz
We prove that a putative code is not the image of linear code over $\ZZ_4$, $\FF_2 + u \FF_2$ or $\FF_2+v\FF_2$, thus proving that the extremal doubly even $[72,36,16]…