کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4655312 1632948 2014 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Large sets of t-designs over finite fields
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Large sets of t-designs over finite fields
چکیده انگلیسی

A t-(n,k,λ;q)t-(n,k,λ;q)-design is a set of k-dimensional subspaces, called blocks, of an n-dimensional vector space V over the finite field with q elements such that each t-dimensional subspace is contained in exactly λ blocks. A partition of the complete set of k-dimensional subspaces of V   into disjoint t-(n,k,λ;q)t-(n,k,λ;q) designs is called a large set of t  -designs over finite fields. In this paper we give the first nontrivial construction of such a large set with t⩾2t⩾2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 124, May 2014, Pages 195–202
نویسندگان
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