Quantum codes from constacyclic codes over
1 School of Statistics and Mathematics, Henan Finance University, 450046, Zhengzhou, Henan, China
2 Faculty of Engineering, Huanghe Science and Technology College, 450063, Zhengzhou, Henan, China
Accepted: 25 January 2023
Published online: 6 February 2023
Let , where , , p is an odd prime. First, we define two new Gray maps and , and study their Gray images. Further, we determine the structure of constacyclic codes and their dual codes, and give a necessary and sufficient conditions of constacyclic codes to contain their duals. Finally, we obtain some new quantum codes over by using CSS construction, and compare the constructed codes better than the existing literature.
Mathematics Subject Classification: 94B05 / 94B15 / 94B60
Key words: Constacyclic codes / Quantum codes / Gray map / Dual-containing codes / CSS construction
© The Author(s) 2023
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