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arxiv: 2310.09695 · v1 · pith:4QMYYBLSnew · submitted 2023-10-15 · 🧮 math.CO

Maximum Number of Quads

classification 🧮 math.CO
keywords maximumnumberquadscardsbitwisecalculatesconjecturecorresponds
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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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