A GENERALIZATION OF LLL LATTICE BASIS REDUCTION OVER IMAGINARY QUADRATIC FIELDS
-
- ARIMOTO KOICHI
- Joint Graduate School (Ph.D. Program) in Science of School Education,Hyogo University of Teacher Education
-
- HIRANO YASUYUKI
- Department of Mathematics,Naruto University of Education
説明
In this paper we generalize LLL lattice basis reduction defined by Lenstra, Lenstra, and Lov´asz. We consider OF -lattice, where OF is the ring of integers in algebraic number field F. We can prove that basic properties of reduced basis can hold over imaginary quadratic fields. We can reveal existence of a least positive element over other algebraic number fields.
収録刊行物
-
- Scientiae Mathematicae Japonicae
-
Scientiae Mathematicae Japonicae 82 (1), 1-6, 2019
一般社団法人 国際数理科学協会
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1390845713084220032
-
- NII論文ID
- 130007681538
-
- ISSN
- 13460447
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可