Second highest number of points of hypersurfaces in Fnq

نویسنده

  • Adnen Sboui
چکیده

For Generalized Reed-Muller, GRM(q, d, n), codes, the determination of the second weight is still generally insolved, it is an open question of Cherdieu Rolland [1]. In order to answer this question, we study some maximal hypersurfaces and we compute the second weight of GRM(q, d, n) codes with the restriction that q > 2d. 2000 Mathematics Subject Classification. 11T71, 14J70, 05B25.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hoph Hypersurfaces of Sasakian Space Form with Parallel Ricci Operator Esmaiel Abedi, Mohammad Ilmakchi Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

Let M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hypersurfaces and hoph hypersurfaces with a parallel ricci tensor structure and show that there are two cases. In the first case, th...

متن کامل

Special numbers of rational points on hypersurfaces in the n-dimensional projective space over a finite field

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

متن کامل

‎Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter‎ ‎space or anti-de Sitter space

‎Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de Sitter space or an anti-de‎ ‎Sitter space‎, ‎$S$ and $K$ be the squared norm of the second‎ ‎fundamental form and Gauss-Kronecker curvature of $M^n$‎. ‎If $S$ or‎ ‎$K$ is constant‎, ‎nonzero and $M^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

متن کامل

Floating Numeral Quantifiers as an Unaccusative Diagnostic in Native, Heritage and L2 Japanese Speakers Running head: Unaccusativity in three Japanese grammars

This study investigates the knowledge of unaccusativity in Japanese native, heritage, and second/foreign language speakers with respect to licensing of floating numeral quantifiers (FNQs) by unaccusative and unergative subjects (the FNQ diagnostic). Two acceptability judgment experiments were conducted to examine (i) whether and how judgments of the three populations differ with respect to the ...

متن کامل

Linear Weingarten hypersurfaces in a unit sphere

In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {em Math. Ann.} {305} (1996), 665--672].  

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2007