关于既约基中的子格行列式
On sublattice determinants in reduced bases
摘要：
证明了LLL-约化基中子格行列式的几个不等式。他们推广了Lenstra，Lenstra和Lovasz证明的最短向量长度的不等式，并表明LLL-约化不仅找到了短向量，而且更普遍地找到了具有小行列式的子格。我们还证明了新的上界的产品的前几个向量的规范。
英文摘要：
We prove several inequalities on the determinants of sublattices in LLL-reduced bases. They generalize the inequalities on the length of the shortest vector proven by Lenstra, Lenstra, and Lovasz, and show that LLL-reduction finds not only a short vector, but more generally, sublattices with small determinants. We also prove new upper bounds on the product of the norms of the first few vectors.
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