25 citations · 116 across the 17 of their papers we have counts for
5 papers · 1 filter
The zero short Covering Problem for finite rings
Abdullah Paşa, Bahattin Yildiz
In this work, we find the cardinality of minimal zero short covers of An for any finite local ring A, removing the restriction of D(A)^2 = 0 from the previous works in the literatu…
On Codes Over with the Extended Lee Weight
Zeynep Ödemiş Özger, Bahattin Yildiz, Steven Dougherty
We consider codes over with the extended Lee weight. We find Singleton bounds with respect to this weight and define MLDS and MLDR codes accordingly. We also con…
On codes over R_{k,m} and constructions for new binary self-dual codes
Nesibe Tufekci, Bahattin Yildiz
In this work, we study codes over the ring R_{k,m}=F_2[u,v]/<u^{k},v^{m},uv-vu>, which is a family of Frobenius, characteristic 2 extensions of the binary field. We introduce a dis…
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…
Extension theorems for self-dual codes over rings and new binary self-dual codes
Abidin Kaya, Bahattin Yildiz
In this work, extension theorems are generalized to self-dual codes over rings and as applications many new binary self-dual extremal codes are found from self-dual codes over F_2^…