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   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
 
 

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