Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Aydin, Nuh"'
Recently, many good quantum codes over various finite fields $F_q$ have been constructed from codes over extension rings or mixed alphabet rings via some version of a Gray map. We show that most of these codes can be obtained more directly from cycli
Externí odkaz:
http://arxiv.org/abs/2410.12167
Information security is a crucial need in the modern world. Data security is a real concern, and many customers and organizations need to protect their sensitive information from unauthorized parties and attackers. In previous years, numerous cryptog
Externí odkaz:
http://arxiv.org/abs/2307.09322
Research on codes over finite rings has intensified since the discovery in 1994 of the fact that some best binary non-linear codes can be obtained as images of $\mathbb{Z}_4$-linear codes. Codes over many different finite rings has been a subject of
Externí odkaz:
http://arxiv.org/abs/2208.06832
Autor:
Latawa, Paridhi, Aydin, Nuh
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 current information bits. DNA codes represent DNA sequences and are defined
Externí odkaz:
http://arxiv.org/abs/2111.04133
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 produce codes with good parameters. Most of the work on QT codes has
Externí odkaz:
http://arxiv.org/abs/2108.10316
In this paper we study the structure and properties of additive right and left polycyclic codes induced by a binary vector $a$ in $\mathbb{F}_{2}^{n}.$ We find the generator polynomials and the cardinality of these codes. We also study different dual
Externí odkaz:
http://arxiv.org/abs/2108.09198
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 constacyclic codes. As an application of the algorithm we found many c
Externí odkaz:
http://arxiv.org/abs/2108.08619