The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
본 논문에서는 격자의 가장 짧은 벡터 계수의 상한이 격자에 대한 그람 행렬의 가장 작은 고유값을 사용하여 표현될 수 있고, 고차원 무작위 Goldstein-Mayer 격자에 대한 분포를 구하고 이를 적용하여 다음을 결정할 수 있음을 보여줍니다. 계수 벡터의 0 비율입니다.
Masahiro KAMINAGA
Tohoku Gakuin University
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
부
Masahiro KAMINAGA, "Upper Bound for the Coefficients of the Shortest Vector of Random Lattice" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 12, pp. 1585-1588, December 2023, doi: 10.1587/transfun.2023EAL2032.
Abstract: This paper shows that upper bounds on the coefficients of the shortest vector of a lattice can be represented using the smallest eigenvalue of the Gram matrix for the lattice, obtains its distribution for high-dimensional random Goldstein-Mayer lattice, and applies it to determine the percentage of zeros of coefficient vector.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2023EAL2032/_p
부
@ARTICLE{e106-a_12_1585,
author={Masahiro KAMINAGA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Upper Bound for the Coefficients of the Shortest Vector of Random Lattice},
year={2023},
volume={E106-A},
number={12},
pages={1585-1588},
abstract={This paper shows that upper bounds on the coefficients of the shortest vector of a lattice can be represented using the smallest eigenvalue of the Gram matrix for the lattice, obtains its distribution for high-dimensional random Goldstein-Mayer lattice, and applies it to determine the percentage of zeros of coefficient vector.},
keywords={},
doi={10.1587/transfun.2023EAL2032},
ISSN={1745-1337},
month={December},}
부
TY - JOUR
TI - Upper Bound for the Coefficients of the Shortest Vector of Random Lattice
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1585
EP - 1588
AU - Masahiro KAMINAGA
PY - 2023
DO - 10.1587/transfun.2023EAL2032
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2023
AB - This paper shows that upper bounds on the coefficients of the shortest vector of a lattice can be represented using the smallest eigenvalue of the Gram matrix for the lattice, obtains its distribution for high-dimensional random Goldstein-Mayer lattice, and applies it to determine the percentage of zeros of coefficient vector.
ER -