کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582812 | 1630369 | 2015 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Difference systems of sets and a collection of 3-subsets in a finite field of order p
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Difference systems of sets and a collection of 3-subsets in a finite field of order p Difference systems of sets and a collection of 3-subsets in a finite field of order p](/preview/png/4582812.png)
چکیده انگلیسی
A difference system of set (DSS) is a collection of t disjoint Ïi-subsets Qi, 0â¤iâ¤tâ1, of Zn such that every non-identity element of Zn appears at least Ï times in the multiset {aâb|aâQi,bâQj,0â¤i,jâ¤tâ1,iâ j}. A DSS is regular if Ïi is constant for 0â¤iâ¤tâ1, and a DSS is perfect if every element of Zn is contained exactly Ï times in the above multiset. In this paper, we consider a collection of 3-subsets of a finite field of a prime order p=ef+1 to be a DSS. We present a condition for which the collection forms a regular DSS and give a lower bound on the parameter Ï using cyclotomic numbers for e=3,4 and 6. For the same values of e, we also show a condition for which a collection of 3-subsets is a perfect DSS.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 34, July 2015, Pages 75-94
Journal: Finite Fields and Their Applications - Volume 34, July 2015, Pages 75-94
نویسندگان
Shoko Chisaki, Nobuko Miyamoto,