Quaternary 1-generator quasi-cyclic codes
- First Online:
- Cite this article as:
- Cui, J. & Pei, J. Des. Codes Cryptogr. (2011) 58: 23. doi:10.1007/s10623-010-9381-0
Quaternary 1-generator quasi-cyclic codes are considered in the paper. Under the conditions that n is odd and gcd(|2|n, m) = 1, where |2|n denotes the order of 2 modulo n, we give the enumeration of quaternary 1-generator quasi-cyclic codes of length mn, and describe an algorithm which will obtain one, and only one, generator for each quaternary 1-generator quasi-cyclic code.