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cs.IT2021
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…
cs.IT2020★ 1 cited
Good Classical and Quantum Codes from Multi-Twisted Codes
Nuh Aydin, Thomas Guidotti, Peihan Liu
Multi-twisted (MT) codes were introduced as a generalization of quasi-twisted (QT) codes. QT codes have been known to contain many good codes. In this work, we show that codes with…
cs.IT2020
New Linear Codes as Quasi-Twisted Codes from Long Constacyclic Codes
Nuh Aydin, Thomas Guidotti, Peihan Liu
One of the most important and challenging problems in coding theory is to determine the optimal values of the parameters of a linear code and to explicitly construct codes with opt…