The machine-type communication (MTC) plays an essential role in the mobile network
society and it has demonstrated its effectiveness to generate significant revenues for mobile …

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 …

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 …

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 …

A modification is introduced of the successive-cancellation decoder for polar codes, in which
local decoders for rate-one constituent codes are simplified. This modification reduces the …

Polar codes are a recently discovered family of capacity-achieving codes that are seen as a
major breakthrough in coding theory. Motivated by the recent rapid progress in the theory of …

Under successive cancellation (SC) decoding, polar codes are inferior to other codes of
similar blocklength in terms of frame error rate. While more sophisticated decoding …

Polar codes were originally introduced as a class of non-systematic linear block codes. This
paper gives encoding and decoding methods for systematic polar coding that preserve the …

Capacity-achieving polar codes have gained significant attention in recent years. In general,
polar codes can be decoded by either successive cancellation (SC) or the belief …