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《Discrete Mathematics》2022,345(8):112919
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Let M be a random rank-r matrix over the binary field , and let be its Hamming weight, that is, the number of nonzero entries of M.We prove that, as with r fixed and tending to a constant, we have that converges in distribution to a standard normal random variable. 相似文献
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《Discrete Mathematics》2022,345(10):113000
Let be a finite field with elements and , where n, m and k are positive integers with and . In this paper, motivated by a recent work of Li, Xiong and Zeng (Li et al. (2021) [12]), we further study the boomerang uniformity of by using similar ideas and carrying out particular techniques in solving equations over finite fields. As a consequence, we generalize Li, Xiong and Zeng's result from the case of m being odd and to that of both and being odd. 相似文献
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《Journal of Functional Analysis》2023,284(7):109835
We employ separation of variables to prove weighted resolvent estimates for the semiclassical Schrödinger operator in dimension , where , and is and compactly supported. The weighted resolvent norm grows no faster than , while an exterior weighted norm grows . We introduce a new method based on the Mellin transform to handle the two-dimensional case. 相似文献