Polar codes have attracted the attention of academia and industry alike in past decade, such that 5th generation wireless systems (5G) standardization process 3rd partnership project (3GPP) chose polar as a channel coding scheme. In this tutorial, we provide description encoding adopted by 5G standard. We illustrate struggles designing family able to satisfy demands systems, with particular rat...

In this paper, we propose two new frameworks for joint encryption encoding schemes based on polar codes, namely efficient and secure joint secret/public key encryption channel coding schemes. The issue of using new coding structure, i.e. polar codes in McEliece-like and RN-like schemes is addressed. Cryptanalysis methods show that the proposed schemes have an acceptable level of security with a...

Arikan’s Polar codes [1] attracted much attention as the first efficiently decodable and capacity achieving codes. Furthermore, Polar codes exhibit an exponentially decreasing block error probability with an asymptotic error exponent upper bounded by β < 1 2 . Since their discovery, many attempts have been made to improve the error exponent and the finite block-length performance, while keeping...

In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzy  sets with graphs. We introduce certain types of edge regular $m-$polar fuzzy graphs and edge irregular $m-$polar fuzzy graphs. We describe some useful properties of edge regular, strongly edge irregular and strongly edge totally irregular $m-$polar fuzzy graphs. W...

In this paper, we present an efficient method to construct a rate-compatible punctured polar (RCPP) code. In the proposed method, an information set is simply optimized only considering the highest rate and then the information set is updated for other codes in the family, by satisfying the rate-compatibility constraint. This is enabled by presenting a novel hierarchical puncturing and informat...

In this paper, we present an efficient method to construct a rate-compatible punctured polar (RCPP) code. In the proposed method, an information set is simply optimized only considering the highest rate and then the information set is updated for other codes in the family, by satisfying the rate-compatibility constraint. This is enabled by presenting a novel hierarchical puncturing and informat...

Polar coding, introduced 2008 by Arıkan, is the first (very) efficiently encodable and decodable coding scheme whose information transmission rate provably achieves the Shannon bound for classical discrete memoryless channels in the asymptotic limit of large block sizes. Here we study the use of polar codes for the transmission of quantum information. Focusing on the case of qubit Pauli channel...

Abstract. This paper considers an alternating offer legislative bargaining game with heterogeneous ideological preferences modeled as ideal points on an interval. The main contribution is a framework for measuring two forces that typically give proposers incentive to form coalitions out of either the left or right halves of the ideological spectrum “polar coalitions”. For a benchmark model with...

The recently-discovered polar codes are seen as a major breakthrough in coding theory; they provably achieve the theoretical capacity of discrete memoryless channels using the low complexity successive cancellation (SC) decoding algorithm. Motivated by recent developments in polar coding theory, we propose a family of efficient hardware implementations for SC polar decoders. We show that such d...