1 research outputs found

    (1βˆ’2uk)(1-2u^k)-constacyclic codes over Fp+uFp+u2F+u3Fp+β‹―+ukFp\mathbb{F}_p+u\mathbb{F}_p+u^2\mathbb{F}_+u^{3}\mathbb{F}_{p}+\dots+u^{k}\mathbb{F}_{p}

    Full text link
    Let Fp\mathbb{F}_p be a finite field and uu be an indeterminate. This article studies (1βˆ’2uk)(1-2u^k)-constacyclic codes over the ring R=Fp+uFp+u2Fp+u3Fp+β‹―+ukFp\mathcal{R}=\mathbb{F}_p+u\mathbb{F}_p+u^2\mathbb{F}_p+u^{3}\mathbb{F}_{p}+\cdots+u^{k}\mathbb{F}_{p} where uk+1=uu^{k+1}=u. We illustrate the generator polynomials and investigate the structural properties of these codes via decomposition theorem
    corecore