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

There is a result related to the average number of the $(δ, η)$-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.

preprint2022arXivOpen access
Jaewon JungKyunghwan Song
math.NT
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Open access2 authors1 topic
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Jaewon JungKyunghwan Song

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