Classification of self dual quadratic bent functions

被引：15

作者：

Hou, Xiang-Dong ^{[1
]}

机构：

[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2012年 / 63卷 / 02期

关键词：

Alternating matrix; Bent function; Orthogonal group; Quadratic function; Self dual bent function; Symplectic group; ORTHOGONAL MATRICES; CODES;

D O I：

10.1007/s10623-011-9544-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We classify all self dual and anti self dual quadratic bent functions in 2n variables under the action of the orthogonal group O(2n, F-2). This is done through a classification of all 2nx2n involutory alternating matrices over F2 under the action of the orthogonal group. The sizes of the O(2n, F-2)-orbits of self dual and anti self dual quadratic bent functions are determined explicitly.

引用

页码：183 / 198

页数：16

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