کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649566 1342460 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Special numbers of rational points on hypersurfaces in the nn-dimensional projective space over a finite field
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Special numbers of rational points on hypersurfaces in the nn-dimensional projective space over a finite field
چکیده انگلیسی

We study first some arrangements of hyperplanes in the nn-dimensional projective space Pn(Fq)Pn(Fq). Then we compute, in particular, the second and the third highest numbers of rational points on hypersurfaces of degree dd. As an application of our results, we obtain some weights of the Generalized Projective Reed–Muller codes PRM(q,d,n)PRM(q,d,n). We also list all the homogeneous polynomials reaching such numbers of zeros and giving the correspondent weights.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 309, Issue 16, 28 August 2009, Pages 5048–5059
نویسندگان
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