Nuh Aydin

Orcid: 0000-0002-5618-2427

According to our database1, Nuh Aydin authored at least 61 papers between 1999 and 2024.

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Bibliography

2024
On the algebraic structure of quasi-polycyclic codes and new quantum codes.
Quantum Inf. Process., March, 2024

On some skew codes over ℤq + uℤq.
Discret. Math. Algorithms Appl., January, 2024

2023
Additive polycyclic codes over $\mathbb {\pmb {\varvec{F}}}_{4}$ induced by nonbinary polynomials.
J. Appl. Math. Comput., December, 2023

Skew cyclic codes over $\mathbb {Z}_{4}+u\mathbb {Z}_{4}+v\mathbb {Z}_{4}$.
Cryptogr. Commun., July, 2023

A new algorithm for equivalence of cyclic codes and its applications.
Appl. Algebra Eng. Commun. Comput., July, 2023

Entanglement-assisted binary quantum codes from skew cyclic codes over ${\mathbb {F}}_2 \times ({\mathbb {F}}_2+v{\mathbb {F}}_2)$.
Quantum Inf. Process., May, 2023

A generalization of cyclic code equivalence algorithm to constacyclic codes.
Des. Codes Cryptogr., March, 2023

New binary and ternary quasi-cyclic codes with good properties.
Comput. Appl. Math., March, 2023

On (n, σ)-equivalence relation between skew constacyclic codes.
CoRR, 2023

A New Hybrid Cryptosystem Involving DNA, Rabin, One Time Pad and Fiestel.
CoRR, 2023

An Updated Database of $\mathbb {Z}_4$ Codes and an Open Problem About Quasi-cyclic Codes.
Proceedings of the Codes, Cryptology and Information Security, 2023

2022
On skew cyclic codes over a mixed alphabet and their applications to DNA codes.
Discret. Math. Algorithms Appl., 2022

Polycyclic codes associated with trinomials: good codes and open questions.
Des. Codes Cryptogr., 2022

An Updated Database of Z<sub>4</sub> Codes.
CoRR, 2022

A Generalization of the ASR Search Algorithm to 2-Generator Quasi-Twisted Codes.
Proceedings of the IEEE International Symposium on Information Theory, 2022

2021
Applications of Convolutional Codes to DNA Codes and Error-Correction.
CoRR, 2021

Additive Polycyclic Codes over F<sub>4</sub> Induced by Binary Vectors and Some Optimal Codes.
CoRR, 2021

A Database of Quantum Codes.
CoRR, 2021

2020
Optimal binary codes derived from $$\mathbb {F}_{2} \mathbb {F}_4$$-additive cyclic codes.
J. Appl. Math. Comput., October, 2020

Good Classical and Quantum Codes from Multi-Twisted Codes.
CoRR, 2020

Skew constacyclic codes over the local Frobenius non-chain rings of order 16.
Adv. Math. Commun., 2020

A Class of Weak Keys for the QC-MDPC Cryptosystem.
Proceedings of the Algebraic and Combinatorial Coding Theory, 2020

New Linear Codes as Quasi-Twisted Codes from Long Constacyclic Codes.
Proceedings of the Algebraic and Combinatorial Coding Theory, 2020

2019
On equivalence of cyclic codes, generalization of a quasi-twisted search algorithm, and new linear codes.
Des. Codes Cryptogr., 2019

New linear codes over non-prime fields.
Cryptogr. Commun., 2019

Some new linear codes from skew cyclic codes and computer algebra challenges.
Appl. Algebra Eng. Commun. Comput., 2019

2018
Skew cyclic codes over <sub>p</sub> + u<sub>p</sub>.
Int. J. Inf. Coding Theory, 2018

On some constacyclic codes over $$\mathbb {Z}_{4}\left[ u\right] /\left\langle u^{2}-1\right\rangle $$ , their $Z<sub>4</sub> images, and new codes.
Des. Codes Cryptogr., 2018

ℤ<sub>q</sub>(ℤ<sub>q</sub>+uℤ<sub>q</sub>)-Linear Skew Constacyclic Codes.
CoRR, 2018

2017
On constacyclic codes over Z<sub>4</sub>[u]/〈u<sup>2</sup>-1〉 and their Gray images.
Finite Fields Their Appl., 2017

A generalization of quasi-twisted codes: Multi-twisted codes.
Finite Fields Their Appl., 2017

Additive cyclic codes over mixed alphabets and the football pool problem.
Discret. Math. Algorithms Appl., 2017

Skew cyclic codes over F<sub>p</sub>+uF<sub>p</sub>.
CoRR, 2017

A mass formula for negacyclic codes of length 2 k and some good negacyclic codes over ℤ<sub>4</sub>+uℤ<sub>4</sub>.
Cryptogr. Commun., 2017

Some results on the structure of constacyclic codes and new linear codes over GF(7) from quasi-twisted codes.
Adv. Math. Commun., 2017

New binary linear codes from quasi-cyclic codes and an augmentation algorithm.
Appl. Algebra Eng. Commun. Comput., 2017

On Isodual Cyclic Codes over Finite Chain Rings.
Proceedings of the Codes, Cryptology and Information Security, 2017

Constacyclic Codes over Finite Principal Ideal Rings.
Proceedings of the Codes, Cryptology and Information Security, 2017

2016
Cyclic and some constacyclic codes over the ring.
Finite Fields Their Appl., 2016

Optimal quantum codes from additive skew cyclic codes.
Discret. Math. Algorithms Appl., 2016

2015
A Database of Z<sub>4</sub> Codes.
CoRR, 2015

Computer algebra challenges for constructing skew cyclic codes.
ACM Commun. Comput. Algebra, 2015

2014
BBZ<sub>2</sub>BBZ<sub>4</sub> -Additive Cyclic Codes.
IEEE Trans. Inf. Theory, 2014

New linear codes from constacyclic codes.
J. Frankl. Inst., 2014

On cyclic codes over ℤ<sub>4</sub> + uℤ<sub>4</sub> and their ℤ<sub>4</sub>-images.
Int. J. Inf. Coding Theory, 2014

2013
Some new binary quasi-cyclic codes from codes over the ring 𝔽<sub>2</sub>+u𝔽<sub>2</sub>+v𝔽<sub>2</sub>+uv𝔽<sub>2</sub>.
Appl. Algebra Eng. Commun. Comput., 2013

2012
On θ-cyclic codes over 𝔽<sub>2</sub> + v𝔽<sub>2</sub>.
Australas. J Comb., 2012

2011
Skew cyclic codes of arbitrary length.
Int. J. Inf. Coding Theory, 2011

Quaternary Quasi-Cyclic Codes with Even Length Components.
Ars Comb., 2011

Some Good Cyclic and Quasi-Twisted Z<sub>4</sub>-Linear Codes.
Ars Comb., 2011

New quinary linear codes from quasi-twisted codes and their duals.
Appl. Math. Lett., 2011

2010
On the construction of skew quasi-cyclic codes.
IEEE Trans. Inf. Theory, 2010

2007
A search algorithm for linear codes: progressive dimension growth.
Des. Codes Cryptogr., 2007

Some Open Problems on Quasi-Twisted and Related Code Constructions and Good Quaternary Codes.
Proceedings of the IEEE International Symposium on Information Theory, 2007

2004
On some classes of optimal and near-optimal polynomial codes.
Finite Fields Their Appl., 2004

2003
Remote Belief: Preserving Volition for Loosely Coupled Processe.
Proceedings of the 23rd International Conference on Distributed Computing Systems (ICDCS 2003), 2003

2002
Quasi-cyclic codes over Z<sub>4</sub> and some new binary codes.
IEEE Trans. Inf. Theory, 2002

New quasi-cyclic codes over F5.
Appl. Math. Lett., 2002

2001
The Structure of 1-Generator Quasi-Twisted Codes and New Linear Codes.
Des. Codes Cryptogr., 2001

2000
New ternary quasi-cyclic codes with better minimum distances.
IEEE Trans. Inf. Theory, 2000

1999
New 1-generator quasi-twisted codes over <i>GF</i>(5).
Proceedings of the Codes and Association Schemes, 1999


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