Pinheiro–Machado–Firer extension conjecture for partition-induced combinatorial metrics
Let F2\mathbb{F}_2F2 be the binary field and let H=F2Ω\mathbf{H}=\mathbb{F}_2^\OmegaH=F2Ω. For k∈[1,∣Ω∣]k\in[1,|\Omega|]k∈[1,∣Ω∣], write P(k,Ω)\mathcal{P}(k,\Omega)P(k,Ω) for the covering of Ω\OmegaΩ by all kkk-eleme…