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We use numerical transfer-matrix methods to investigate properties of themulticriticalpoint of binary Ising spin glasses on a square lattice, whoselocation we assume to be given exactly by a conjecture advanced by Nishimoriand Nemoto. We calculate the two largest Lyapunov exponents, as well as linearand non-linear zero-field uniform susceptibilities, on strip of widths $4 \leqL \leq 16$ sites, from which we estimate the conformal anomaly $c$, thedecay-of-correlations exponent $\eta$, and the linear and non-linearsusceptibility exponents $\gamma/\nu$ and $\gamma^{nl}/\nu$, with the help offinite-size scaling and conformal invariance concepts. Our results are:$c=0.46(1)$; $0.187 \lesssim \eta \lesssim 0.196$; $\gamma/\nu=1.797(5)$;$\gamma^{nl}/\nu=5.59(2)$. A direct evaluation of correlation functions on thestrip geometry, and of the statistics of the zeroth moment of the associatedprobability distribution, gives $\eta=0.194(1)$, consistent with thecalculation via Lyapunov exponents. Overall, these values tend to beinconsistent with the universality class of percolation, though by smallamounts. The scaling relation $\gamma^{nl}/\nu=2 \gamma/\nu+d$ (with spacedimensionality $d=2$) is obeyed to rather good accuracy, thus showing noevidence of multiscaling behavior of the susceptibilities.Comment: RevTeX 4, 7 pages, 4 .eps figures; final version, to be published in  Physical Review B (2006

physical review. b, condensed matter and materials physics

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