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- W2082035520 abstract "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 ordtpn(q)=ϕ(pn). Our results generalize the main results in Pruthi and Arora (1997) and Arora and Pruthi (1999), which considered the cases t=1 and t=2 respectively. We propose an approach different from those in Pruthi and Arora (1997) and Arora and Pruthi (1999) to obtain the generating idempotents." @default.
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- W2082035520 date "2014-09-01" @default.
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- W2082035520 title "Some minimal cyclic codes over finite fields" @default.
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- W2082035520 doi "https://doi.org/10.1016/j.disc.2014.05.007" @default.
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