کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647161 | 1342330 | 2015 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Constructions of large sets of disjoint group-divisible designs LS(2n41) using a generalization of *LS(2n)
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Large sets of disjoint group-divisible designs with block size three and type 2n412n41 were first studied by Schellenberg and Stinson and motivated by their connection with perfect threshold schemes. It is known that such large sets can exist only for n≡0(mod3) and do exist for n=2k(3m)n=2k(3m), where m≡1(mod2) and k=0,3k=0,3 or k≥5k≥5. A special large set called *LS(2n) has played a key role in obtaining the above results. In this paper, we shall give a generalization of an *LS(2n) and use it to obtain a similar result for k=2,4k=2,4 and partially for k=1k=1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 8, 6 August 2015, Pages 1449–1459
Journal: Discrete Mathematics - Volume 338, Issue 8, 6 August 2015, Pages 1449–1459
نویسندگان
H. Cao, J. Lei, L. Zhu,