We study the two and four dimensional Nishimori multicritical point via high
temperature expansions for the ±J distribution, random-bond, Ising model.
In 2d we estimate the the critical exponents along the Nishimori line to be
γ=2.37±0.05, ν=1.32±0.08. These, and earlier 3d estimates
γ=1.80±0.15, ν=0.85±0.08 are remarkably close to the critical
exponents for percolation, which are known to be γ=43/18, ν=4/3 in
d=2 and γ=1.805±0.02 and ν=0.875±0.008 in d=3. However, the
estimated 4d Nishimori exponents γ=1.80±0.15, ν=1.0±0.1, are
quite distinct from the 4d percolation results γ=1.435±0.015,
ν=0.678±0.05.Comment: 5 pages, RevTex, 3 postscript files; To appear in Physical Review