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REPORTS > AUTHORS > PATRICK XIA:
All reports by Author Patrick Xia:

TR13-050 | 1st April 2013
Venkatesan Guruswami, Patrick Xia

Polar Codes: Speed of polarization and polynomial gap to capacity

Revisions: 1

We prove that, for all binary-input symmetric memoryless channels, polar codes enable reliable communication at rates within $\epsilon > 0$ of the Shannon capacity with a block length, construction complexity, and decoding complexity all bounded by a *polynomial* in $1/\epsilon$. Polar coding gives the *first known explicit construction* with rigorous ... more >>>




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