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REPORTS > KEYWORD > CAPACITY-ACHIEVING CODES:
Reports tagged with capacity-achieving codes:
TR19-154 | 6th November 2019
Venkatesan Guruswami, Andrii Riazanov, Min Ye

#### Ar?kan meets Shannon: Polar codes with near-optimal convergence to channel capacity

Revisions: 2

Let $W$ be a binary-input memoryless symmetric (BMS) channel with Shannon capacity $I(W)$ and fix any $\alpha > 0$. We construct, for any sufficiently small $\delta > 0$, binary linear codes of block length $O(1/\delta^{2+\alpha})$ and rate $I(W)-\delta$ that enable reliable communication on $W$ with quasi-linear time encoding and decoding. ... more >>>

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