کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8903032 1632399 2018 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On k-caps in PG(n,q), with q even and n≥3
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
On k-caps in PG(n,q), with q even and n≥3
چکیده انگلیسی
Let m2(n,q) be the maximum size of k for which there exists a k-cap in PG(n,q), and let m2′(n,q) be the second largest value of k for which there exists a complete k-cap in PG(n,q). In this paper Chao's upper bound q2−q+5 for m2′(3,q), q even and q≥8, will be improved. As a corollary new bounds for m2(n,q), q even, q≥8 and n≥4, are obtained. Cao and Ou published a better bound but there seems to be a gap in their proof.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 341, Issue 5, May 2018, Pages 1459-1471
نویسندگان
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