Construction of s-extremal optimal unimodular lattices in dimension 52

Masaaki Harada

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Construction of s-extremal optimal unimodular lattices in dimension 52

机译：尺寸52中的S-极值最佳单模格的构建

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摘要

An s-extremal optimal unimodular lattice in dimension 52 is constructed for the first time. This lattice is constructed from a certain self-dual F_5-code by Construction A. In addition, as neighbours of the lattice, two more s-extremal optimal unimodular lattices are constructed.

机译：尺寸52中的S-极值最佳单模格子首次构建。该晶格由施工A由一定的自二元F_5码构造。另外，作为晶格的邻居，构造了两个更多的S-极值最佳单模格。

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来源
《International Journal of Computer Mathematics: Computer Systems Theory》 |2020年第4期|87-91|共5页
作者
Masaaki Harada;
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作者单位

Research Center for Pure and Applied Mathematics Graduate School of Information Sciences Tohoku University Sendai Japan;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Unimodular lattice; self-dual code; Construction A; s-extremal unimodular lattice; optimal lattice;

机译：单模格;自我双重代码;建筑A;S-极值单模格;最佳格子;

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专利

1. Optimal self-dual Z_4-codes and a unimodular lattice in dimension 41 [J] . Masaaki Harada Finite fields and their applications . 2012,第3期

机译：最佳自对偶Z_4码和尺寸为41的单模晶格
2. An optimal odd unimodular lattice in dimension 72 [J] . Harada M., Miezaki T. Archiv der Mathematik . 2011,第6期

机译：尺寸为72的最优奇单模晶格
3. An optimal odd unimodular lattice in dimension 72 [J] . Masaaki Harada, Tsuyoshi Miezaki Archiv der Mathematik . 2011,第6期

机译：尺寸为72的最优奇奇单模晶格
4. Coset code constructions of N-dimensional sphere packings from 1- and 2-dimensional lattices [C] . Kschischang, F.R., Pasupathy, . 1989

机译：一维和二维晶格的N维球面堆积的同集代码构造
5. The Construction of Four-dimensional Lattices from Q (√2,√5) [D] . Martinez, Antonio Estevan, IV. 2018

机译：从Q（χ2，√5）的四维格的构造
6. ON THE SYMMETRY PROPERTIES OF POWERS OF REPRESENTATIONS OF THE TWO-DIMENSIONAL UNIMODULAR UNITARY GROUP [O] . Francis D. Murnaghan 1954

机译：二维单模UNI群的表示幂的对称性质
7. Optimal self-dual Z4-codes and a unimodular lattice in dimension 41 [O] . Harada Masaaki 2012

机译：最佳自对偶Z4码和尺寸为41的单模晶格

Construction of s-extremal optimal unimodular lattices in dimension 52

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