Quasi-cyclic codes of index 2
Abdukhalikov K. Dzhumadildaev A.S. Ling S.
June 2026Elsevier B.V.
Discrete Mathematics
2026#349Issue 6
We study quasi-cyclic codes of index 2 over finite fields. We give a classification of such codes. Their duals with respect to the Euclidean, symplectic and Hermitian inner products are investigated. We describe self-orthogonal and dual-containing codes. Lower bounds for minimum distances of quasi-cyclic codes are given. A quasi-cyclic code of index 2 is generated by at most two elements. We describe conditions when such a code (or its dual) is generated by one element.
Dual codes , Lower bounds , Quantum error-correcting , Quasi-cyclic codes
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Department of Mathematical Sciences, UAE University, PO Box 15551, Al Ain, United Arab Emirates
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore
Department of Mathematical Sciences
Institute of Mathematics and Mathematical Modeling
School of Physical and Mathematical Sciences
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026