65 citations · 108 across the 23 of their papers we have counts for
8 papers · 2 filters
Applications of Convolutional Codes to DNA Codes and Error-Correction
Paridhi Latawa, Nuh Aydin
Convolutional codes are error-correcting linear codes that utilize shift registers to encode. These codes have an arbitrary block size and they can incorporate both past and curren…
A Generalization of the ASR Search Algorithm to 2-Generator Quasi-Twisted Codes
Dev Akre, Nuh Aydin, Matthew J. Harrington +1
One of the main goals of coding theory is to construct codes with best possible parameters and properties. A special class of codes called quasi-twisted (QT) codes is well-known to…
Additive Polycyclic Codes over Induced by Binary Vectors and Some Optimal Codes
Arezoo Soufi Karbaski, Taher Abualrub, Nuh Aydin +1
In this paper we study the structure and properties of additive right and left polycyclic codes induced by a binary vector in We find the generator polyno…
A Generalization of Cyclic Code Equivalence Algorithm to Constacyclic Codes
Dev Akre, Nuh Aydin, Matthew J. Harrington +1
Recently, a new algorithm to test equivalence of two cyclic codes has been introduced which is efficient and produced useful results. In this work, we generalize this algorithm to…
New Binary and Ternary Quasi-Cyclic Codes with Good Properties
Dev Akre, Nuh Aydin, Matthew J. Harrington +1
One of the most important and challenging problems in coding theory is to construct codes with best possible parameters and properties. The class of quasi-cyclic (QC) codes is know…
A Database of Quantum Codes
Nuh Aydin, Peihan Liu, Bryan Yoshino
Quantum error correcting codes (QECC) is becoming an increasingly important branch of coding theory. For classical block codes, a \href{codetables.de} {comprehensive database of be…
A New Algorithm for Equivalence of Cyclic Codes and Its Applications
Nuh Aydin, R. Oliver VandenBerg
Cyclic codes are among the most important families of codes in coding theory for both theoretical and practical reasons. Despite their prominence and intensive research on cyclic c…
Polycyclic Codes Associated with Trinomials: Good Codes and Open Questions
Nuh Aydin, Peihan Liu, Bryan Yoshino
Polycyclic codes are a generalization of cyclic and constacyclic codes. Even though they have been known since 1972 and received some attention more recently, there have not been m…