Maximum Number of Quads
Abstract
We study the maximum number of quads among $\ell$ cards from an EvenQuads deck of size $2^n$. This corresponds to enumerating quadruples of integers in the range $[0,\ell-1]$ such that their bitwise XOR is zero. In this paper, we conjecture a formula that calculates the maximum number of quads among $\ell$ cards.
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Published
2024-03-31
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Original Research
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Copyright (c) 2024 Nikhil Byrapuram, Hwiseo (Irene) Choi, Adam Ge, Selena Ge, Sylvia Zia Lee, Evin Liang, Rajarshi Mandal, Aika Oki, Daniel Wu, Michael Yang, Tanya Khovanova (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
