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arXiv · 2203.09406

A study on some approximations on the average number of the LLL bases in higher dimensions

Jaewon Jung·Kyunghwan Song
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Abstract

There is a result related to the average number of the $(\delta, \eta)$-LLL bases in dimension $n$ in theoretical sense but the formula seems to be complicated and computing in high dimension takes a long time. In practical sense, we suggest some approximations which can be computed by just storing some constants and computing relatively simple exponential functions.

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Jaewon Jung, Kyunghwan Song. 2022-03-17. A study on some approximations on the average number of the LLL bases in higher dimensions. https://arxiv.org/abs/2203.09406

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