We describe a successive-cancellation list decoder for polar codes, which is a
generalization of the classic successive-cancellation decoder of Arıkan. In the proposed list …

We show that successive cancellation list decoding can be formulated exclusively using log-
likelihood ratios. In addition to numerical stability, the log-likelihood ratio based formulation …

CRC (cyclic redundancy check)-aided decoding schemes are proposed to improve the
performance of polar codes. A unified description of successive cancellation decoding and …

This note is a written and extended version of the Shannon Lecture I gave at 2019
International Symposium on Information Theory. It gives an account of the original ideas that …

A method for efficiently constructing polar codes is presented and analyzed. Although polar
codes are explicitly defined, straightforward construction is intractable since the resulting …

A method is proposed, called channel polarization, to construct code sequences that
achieve the symmetric capacity I(W) of any given binary-input discrete memoryless channel …

ABSTRACT 5G is the next generation of mobile communications networks which will use
cutting-edge network technologies to deliver enhanced mobile connectivity. 5G has …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

Arikan's polar codes are capable of approaching Shannon's capacity at a low encoding and
decoding complexity, while conveniently supporting rate adaptation. By virtue of these …

In this letter, we propose an adaptive SC (Successive Cancellation)-List decoder for polar
codes with CRC. This adaptive SC-List decoder iteratively increases the list size until at least …