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Prange

Implementation of Information-set decoding with

Define x

x <- phi(r) * (phi(G))^-1

Main condition

  • if hwt(r + xG) <= w: RETURN X

gilbert_varshamov_distance:

r = n-k
d0(n,r) = SUM(n above i) from i=0 -> d0 - 1 <= 2*r

hints:

  • t = [5,1,2,4]
  • n = 32
  • ni = 8
  • initially choose Xi = ni - ti --> x=(3,7,6,4)

Pprange with particaular X = (ni - xi choose ti) * (ni choose ti)^-1