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[Author] Reza SOBHANI(1hit)

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  • Some Constacyclic and Cyclic Codes Over Fq[u]/<ut+1>

    Reza SOBHANI  Morteza ESMAEILI  

     
    PAPER-Coding Theory

      Vol:
    E93-A No:4
      Page(s):
    808-813

    A generalized Gray map for codes over the ring Fq[u]/ is introduced, where q=pm is a prime power. It is shown that the generalized Gray image of a linear length-N (1-ut)-cyclic code over Fq[u]/ is a distance-invariant linear length-qtN quasi-cyclic code of index qt/p over Fq. It turns out that if (N,p)=1 then every linear code over Fq that is the generalized Gray image of a length-N cyclic code over Fq[u]/, is also equivalent to a linear length-qtN quasi-cyclic code of index qt/p over Fq. The relationship between linear length-pN cyclic codes with (N,p)=1 over Fp and linear length-N cyclic codes over Fp+uFp is explicitly determined.