کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647233 | 1342335 | 2015 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Note on the tight relative 2-designs on H(n,2)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
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چکیده انگلیسی
Bannai-Bannai-Bannai studied intensively the tight relative 2-designs on two shells in H(n,2) and gained many important results. Their results indicate the relationship among relative t-designs in binary Hamming association schemes, combinatorial t-designs and Hadamard matrices. In this note we study the further relationship between tight relative 2-designs on two shells in H(n,2) and them. We first prove that the existence of a special tight relative 2-design of H(n,2) on two shells is equivalent to that of a Hadamard matrix of size m+1, where mâ¡â1(mod4) and n=2m; we also show how tight relative 2-designs of H(n,2) on two shells and BIBD or λ-linked designs are related. Next, for each integer n, where 30
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 2, 6 February 2015, Pages 196-208
Journal: Discrete Mathematics - Volume 338, Issue 2, 6 February 2015, Pages 196-208
نویسندگان
Hong Yue, Bo Hou, Suogang Gao,