Some minimal cyclic codes over finite fields

• Main Authors: Hongwei, Liu, Guanghui, Zhang, Bocong, Chen
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics::Discrete mathematics
• Online Access: https://hdl.handle.net/10356/99891; http://hdl.handle.net/10220/20361
• Institution: Nanyang Technological University

In this paper, the explicit expressions for the generating idempotents, check polynomials and the parameters of all minimal cyclic codes of length tpn over Fq are obtained, where p is an odd prime different from the characteristic of Fq, t and n are positive integers with t∣(q−1), gcd(t,p)=1 and Vie...