

constacyclic codes of arbitrary length over $f_{q}+uf_{q}+cdots +u^{e1}f_{q}$



نویسنده

beygi marziyeh ,namazi shohreh ,sharif habib

منبع

journal of algebraic structures and their applications  2019  دوره : 6  شماره : 1  صفحه:65 82



چکیده

in this article, we shall study the structure of $(a+bu)$constacyclic codes of arbitrary length over the ring$r=f_{q}+uf_{q}+cdots +u^{e1}f_{q}$, where $u^{e}=0$, $q$ is a power of a prime number $p$ and $a,b$ are nonzero elements of $f_{q}$. also we shall find a minimal spanning set for these codes. %, and completely determine the structure of these codes. for a constacyclic code $c$ we shall determine its minimum hamming distance with some properties of $tor(c)$ as an $a$constacyclic code over $f_{q}$.

کلیدواژه

linear code ,constacyclic code ,minimal spanning set ,minimum hamming distance

آدرس

shiraz university, college of sciences, department of mathematics, iran, shiraz university, college of sciences, department of mathematics, iran, shiraz university, college of sciences, department of mathematics, iran

پست الکترونیکی

sharif@susc.ac.ir










