Complete Intersection Vanishing Ideals on Sets of Clutter Type over Finite Fields

被引:0
作者
Tochimani, Azucena [1 ]
Villarreal, Rafael H. [1 ]
机构
[1] IPN, Dept Matemat, Ctr Invest & Estudios Avanzados, Apartado Postal 14-740, Mexico City 07000, DF, Mexico
关键词
Complete intersection; Monomial parameterization; Vanishing ideal; Binomial ideal; Finite field; REED-MULLER CODES;
D O I
10.1007/s40840-015-0239-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we give a classification of complete intersection vanishing ideals on parameterized sets of clutter type over finite fields.
引用
收藏
页码:81 / 89
页数:9
相关论文
共 20 条
[1]  
[Anonymous], 1978, The Theory of Error-Correcting Codes
[2]  
[Anonymous], 1992, IDEALS VARIETIES ALG, DOI DOI 10.1007/978-1-4757-2181-2
[3]   On the second Hamming weight of some Reed-Muller type codes [J].
Carvalho, Cicero .
FINITE FIELDS AND THEIR APPLICATIONS, 2013, 24 :88-94
[4]   ON GENERALIZED REED-MULLER CODES AND THEIR RELATIVES [J].
DELSARTE, P ;
GOETHALS, JM ;
MACWILLI.FJ .
INFORMATION AND CONTROL, 1970, 16 (05) :403-&
[5]   Reed-Muller codes on complete intersections [J].
Duursma, IM ;
Rentería, C ;
Tapia-Recillas, H .
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2001, 11 (06) :455-462
[6]   Polynomial interpolation in several variables [J].
Gasca, M ;
Sauer, T .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2000, 12 (04) :377-410
[7]   Weighted Reed-Muller codes revisited [J].
Geil, Olav ;
Thomsen, Casper .
DESIGNS CODES AND CRYPTOGRAPHY, 2013, 66 (1-3) :195-220
[8]   Cayley-Bacharach and evaluation codes on complete intersections [J].
Gold, L ;
Little, J ;
Schenck, H .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2005, 196 (01) :91-99
[9]   Reed-Muller-type codes over the Segre variety [J].
González-Sarabia, M ;
Rentería, C .
FINITE FIELDS AND THEIR APPLICATIONS, 2002, 8 (04) :511-518
[10]   Linkage and codes on complete intersections [J].
Hansen, JP .
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2003, 14 (03) :175-185