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Channel polarization is a phenomenon in which a particular recursive encoding induces a set of synthesized channels from many instances of a memoryless channel, such that a fraction of the synthesized channels becomes near perfect for data…

Quantum Physics · Physics 2013-06-20 Mark M. Wilde , Saikat Guha

We consider lossy source compression of a binary symmetric source using polar codes and the low-complexity successive encoding algorithm. It was recently shown by Arikan that polar codes achieve the capacity of arbitrary symmetric…

Information Theory · Computer Science 2009-03-03 Satish Babu Korada , Rudiger Urbanke

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

Information Theory · Computer Science 2011-10-05 Hessam Mahdavifar , Alexander Vardy

Polar coding over a class of binary discrete memoryless channels with channel knowledge at the encoder is studied. It is shown that polar codes achieve the capacity of convex and one-sided classes of symmetric channels.

Information Theory · Computer Science 2013-12-02 Mine Alsan

Ar{\i}kan's polar coding, is by now a well studied technique that allows achieving the symmetric capacity of binary input memoryless channels with low complexity encoding and decoding, provided that the polar decoding architecture is used…

Information Theory · Computer Science 2018-05-08 Mine Alsan

A polar coding scheme for fading channels is proposed in this paper. More specifically, the focus is Gaussian fading channel with a BPSK modulation technique, where the equivalent channel could be modeled as a binary symmetric channel with…

Information Theory · Computer Science 2013-04-16 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

A rateless coding scheme transmits incrementally more and more coded bits over an unknown channel until all the information bits are decoded reliably by the receiver. We propose a new rateless coding scheme based on polar codes, and we show…

Information Theory · Computer Science 2015-08-14 Bin Li , David Tse , Kai Chen , Hui Shen

We consider the wiretap channel, where the individual channel uses have memory or are influenced by an adversary. We analyze the explicit and computationally efficient construction of information-theoretically secure coding schemes which…

Cryptography and Security · Computer Science 2024-04-03 Esther Hänggi , Iyán Méndez Veiga , Ligong Wang

In this paper, we consider a semi-deterministic wiretap channel where the main channel is noiseless and the eavesdropper's channel is a binary erasure channel (BEC). We provide a lower bound for the achievable secrecy rates of polar and…

Information Theory · Computer Science 2021-05-25 Mahdi Shakiba-Herfeh , Laura Luzzi , Arsenia Chorti

In this paper, we propose a low-complexity, secrecy capacity achieving polar coding scheme for the cognitive interference channel with confidential messages (CICC) under the strong secrecy criterion. Existing polar coding schemes for…

Information Theory · Computer Science 2017-10-30 Mengfan Zheng , Wen Chen , Cong Ling

In this paper, we investigate the secure coding issue for a wiretap channel model with fixed main channel and varying wiretap channel, by assuming that legitimate parties can obtain the wiretapping channel state information (CSI) after some…

Information Theory · Computer Science 2020-01-22 Yizhi Zhao , Hongmei Chi

We present a rate-compatible polar coding scheme that achieves the capacity of any family of channels. Our solution generalizes the previous results [1], [2] that provide capacity-achieving rate-compatible polar codes for a degraded family…

Information Theory · Computer Science 2017-01-24 Marco Mondelli , S. Hamed Hassani , Ivana Marić , Dennis Hui , Song-Nam Hong

This work presents a polar coding scheme for fading channels, focusing primarily on fading binary symmetric and additive exponential noise channels. For fading binary symmetric channels, a hierarchical coding scheme is presented, utilizing…

Information Theory · Computer Science 2014-08-19 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

This paper proposes an efficient secret key cryptosystem based on polar codes over Binary Erasure Channel. We introduce a method, for the first time to our knowledge, to hide the generator matrix of the polar codes from an attacker. In…

Cryptography and Security · Computer Science 2013-08-02 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref

The wiretap channel model of Wyner is one of the first communication models with both reliability and security constraints. Capacity-achieving schemes for various models of the wiretap channel have received considerable attention in recent…

Information Theory · Computer Science 2016-11-04 Talha Cihad Gulcu , Alexander Barg

Polar codes under successive cancellation decoding proposed by Ar{\i}kan provably achieve the symmetric capacity of any given binary-input discrete memoryless channel. The successive cancellation list decoder for polar codes was described…

Information Theory · Computer Science 2017-12-14 Zhuo Li , Lijuan Xing , Ba-Zhong Shen

Polar codes are introduced for discrete memoryless broadcast channels. For $m$-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from $m$ independent messages to one codeword while…

Information Theory · Computer Science 2015-04-15 Naveen Goela , Emmanuel Abbe , Michael Gastpar

The adversarial wiretap channel (AWTC) model is a secure communication model in which adversary can directly read and write the transmitted bits in legitimate communication with fixed fractions. In this paper we propose a secure polar…

Information Theory · Computer Science 2021-01-01 Yizhi Zhao

Channel polarization is a method of constructing capacity achieving codes for symmetric binary-input discrete memoryless channels (B-DMCs) [1]. In the original paper, the construction complexity is exponential in the blocklength. In this…

Information Theory · Computer Science 2009-05-23 Ryuhei Mori , Toshiyuki Tanaka

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 (B-DMC) $W$. The symmetric capacity is the highest rate…

Information Theory · Computer Science 2016-11-18 Erdal Arikan