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Assuming we are in a Word-RAM model with word size $w$, we show that we canconstruct in $o(w)$ time an error correcting code with a constant relativepositive distance that maps numbers of $w$ bits into $\Theta(w)$-bit numbers,and such that the application of the error-correcting code on any given number$x\in[0,2^w-1]$ takes constant time. Our result improves on a previouslyproposed error-correcting code with the same properties whose construction timewas exponential in $w$.

Faster construction of asymptotically good unit-cost error correcting codes in the RAM model