For small insertion probability α, the capacity of the binary insertion channel is 1 + α log α + G1 α + O(α^(3/2-ε)), with G1 ≈ 0.49011, matching the rate of i.i.d. Bernoulli(1/2) inputs up to higher-order terms.
On the embedding capacity of DNA strands unde r substitu- tion, insertion, and deletion mutations,
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On the Capacity of Insertion Channels for Small Insertion Probabilities
For small insertion probability α, the capacity of the binary insertion channel is 1 + α log α + G1 α + O(α^(3/2-ε)), with G1 ≈ 0.49011, matching the rate of i.i.d. Bernoulli(1/2) inputs up to higher-order terms.