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

preprint2022arXivOpen access

Abstract

There is a result related to the average number of the (δ,η)(δ, η)-LLL bases in dimension nn 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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