TY - JOUR UR - http://lib.ugent.be/catalog/pug01:8028382 ID - pug01:8028382 LA - eng TI - Bounds on the number of rational points of algebraic hypersurfaces over finite fields, with applications to projective Reed-Muller codes PY - 2016 JO - (2016) ADVANCES IN MATHEMATICS OF COMMUNICATIONS SN - 1930-5346 PB - 2016 AU - Bartoli, Daniele UGent 802001827070 AU - Sboui, Adnen AU - Storme, Leo WE16 801000632072 0000-0001-6440-9225 AB - We present bounds on the number of points in algebraic curves and algebraic hypersurfaces in P-n(F-q) of small degree d, depending on the number of linear components contained in such curves and hypersurfaces. The obtained results have applications to the weight distribution of the projective Reed-Muller codes PRM(q, d, n) over the finite field IFq. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 8028382 | ||
005 | 20190108122002.0 | ||
008 | 160706s2016------------------------eng-- | ||
022 | a 1930-5346 | ||
024 | a 000377602300010 2 wos | ||
024 | a 1854/LU-8028382 2 handle | ||
024 | a 10.3934/amc.2016010 2 doi | ||
040 | a UGent | ||
245 | a Bounds on the number of rational points of algebraic hypersurfaces over finite fields, with applications to projective Reed-Muller codes | ||
260 | c 2016 | ||
520 | a We present bounds on the number of points in algebraic curves and algebraic hypersurfaces in P-n(F-q) of small degree d, depending on the number of linear components contained in such curves and hypersurfaces. The obtained results have applications to the weight distribution of the projective Reed-Muller codes PRM(q, d, n) over the finite field IFq. | ||
598 | a A1 | ||
700 | a Bartoli, Daniele u UGent 0 802001827070 0 972816699538 9 57AF22B6-016B-11E4-9C4F-71044C2F559A | ||
700 | a Sboui, Adnen | ||
700 | a Storme, Leo u WE16 0 801000632072 0 0000-0001-6440-9225 9 F43E6FD2-F0ED-11E1-A9DE-61C894A0A6B4 | ||
650 | a Mathematics and Statistics | ||
653 | a quadrics | ||
653 | a Algebraic varieties | ||
653 | a small weight codewords | ||
653 | a intersections | ||
653 | a projective Reed-Muller codes | ||
653 | a P-N(F-Q) | ||
653 | a ARCS | ||
773 | t ADVANCES IN MATHEMATICS OF COMMUNICATIONS g Adv. Math. Commun. 2016. 10 (2) p.355-365 q 10:2<355 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/8028382/file/8028386 z [ugent] y 12524.pdf | ||
920 | a article | ||
Z30 | x WE 1 WE01 | ||
922 | a UGENT-WE | ||
Z30 | x WE 1 WE01* | ||
922 | a UGENT-WE |
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