Lect 18 Reliable Computation I
CS257 © John E Savage
3
Coded Computation
lGoal: Reliably compute function gk(x1, x2) = y where x1, x2 and y are of length k.
§
lMethod:
lEncode x1, x2. Compute Gn(E(x1),E(x2)) = E(y). x1, x2 and y are encoded in the same code C (prevents cheating).
lResult of computation is z, a noisy version of y.
lDecode z to a codeword in C.
§
lThe challenge is to choose codes to ensure that z can be decoded correctly in the presence of errors.