COMBINATORIAL POLARIZATION

被引：20

作者：

WARD, HN

机构：

[1] Department of Mathematics, University of Virginia, Charlottesville

来源：

DISCRETE MATHEMATICS | 1979年 / 26卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0012-365X(79)90123-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a systematic development of a polarization process for functions on Abelian groups. The process facilitates computation of bounds for the degrees of polynomials obtained from functions like the weight function of a linear code. A later paper will present applications, but one is given here, to formally self-dual codes over GF(4). © 1979.

引用

页码：185 / 197

页数：13

共 12 条

[1]

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[2]

ASSMUS EF, 1967, AFCRL670365 AIR FORC

[3] ON GENERALIZED REED-MULLER CODES AND THEIR RELATIVES [J].

DELSARTE, P ;

GOETHALS, JM ;

MACWILLI.FJ .

INFORMATION AND CONTROL, 1970, 16 (05) :403-&

[4]

Dym H., 1972, FOURIER SERIES INTEG

[5]

Macwilliams F., 1986, THEORY ERROR CORRECT

[6] SELF-DUAL CODES OVER GF(4) [J].

MACWILLIAMS, FJ ;

ODLYZKO, AM ;

SLOANE, NJA ;

WARD, HN .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1978, 25 (03) :288-318

[7]

RIORDAN J, 1968, COMBINATORIAL IDENTI

[8]

SOLOMON G, 1966, J COMB THEORY, V1, P459

[9]

VANLINT JH, 1971, LECTURE NOTES MATH

[10] FORM FOR M11 [J].

WARD, HN .

JOURNAL OF ALGEBRA, 1975, 37 (02) :340-361

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