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)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Constructions of large sets of disjoint group-divisible designs LS(2n41) using a generalization of *LS(2n)
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
نویسندگان
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