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Constacyclic Codes of Arbitrary Length over F_{q}+uF_{q}+\cdots +u^{e-۱}F_{q}

عنوان مقاله: Constacyclic Codes of Arbitrary Length over F_{q}+uF_{q}+\cdots +u^{e-۱}F_{q}
شناسه ملی مقاله: JR_ASYAZDT-6-1_006
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:

Marziyeh Beygi - Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
Shohreh Namazi - Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
Habib Sharif - Department of Mathematics, College of Sciences, Shiraz University, Shiraz, ۷۱۴۶۷-۱۳۵۶۵, Iran.

خلاصه مقاله:
In this article, we shall study the structure of (a+bu)-constacyclic codes of arbitrary length over the ringR=F_{q}+uF_{q}+\cdots +u^{e-۱}F_{q}, where u^{e}=۰, q is a power of a prime number p and a,b are non-zero 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}.

کلمات کلیدی:
Linear code, constacyclic code, minimal spanning set, minimum Hamming distance

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1579959/