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 …

We present a comparative study of the performance of various polar code constructions in
an additive white Gaussian noise (AWGN) channel. A polar code construction is any …

This paper considers polar coding for asymmetric settings, that is, channel coding for
asymmetric channels and lossy source coding for nonuniform sources and/or asymmetric …

Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

Polarization phenomenon over any finite field Fq with size q being a power of a prime is
considered. This problem is a generalization of the original proposal of channel polarization …

In order to provide ultra low-latency and high energy-efficient communication for
intelligences, the sixth generation (6G) wireless communication networks need to break out …

In this letter, a double polar code (D-Polar) for joint source and channel coding (JSCC) is
proposed, in which the source compress is implemented by a polar code, the channel error …

Polar codes have been recently proposed as the first low complexity class of codes that can
provably achieve the capacity of symmetric binary-input memoryless channels. Here, we …

We survey coding techniques that enable reliable transmission at rates that approach the
capacity of an arbitrary discrete memoryless channel. In particular, we take the point of view …

We describe coding techniques that achieve the capacity of a discrete memoryless
asymmetric channel. To do so, we discuss how recent advances in coding for symmetric …