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Capacity-Achieving Guessing Random Additive Noise Decoding

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Figure

Fig. 1. Guesswork rate function. Example: A = {0, 1}, BSC channel, noise N n made of i.i.d
Fig. 2. Example: A = {0,1}, block length n = 16 and R = 4/5. Upper panel: compares exact computation of P(U n = k) (blue line) with the exponential distribution approximation given in equation (9) (orange circles) for first 100 guesses
Fig. 3. GRAND decoding error and success exponents. Example: A = {0,1}, BSC channel, noise N n made of i.i.d
Fig. 4. GRAND complexity. Example: A = {0, 1}, BSC channel, noise N n made of i.i.d. Bernoulli symbols with P(N 1 = 1) = 0.1, and channel capacity is approximately 0.53
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