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Polar Sampler: Discrete Gaussian Sampling over the Integers Using Polar Codes
Discrete Gaussian sampling Polar codes Integer lattice
2019/6/10
Cryptographic constructions based on hard lattice problems have emerged as a front runner for the standardization of post quantum public key cryptography. As the standardization process takes place, o...
Secret Key Cryptosystem based on Non-Systematic Polar Codes
Code based cryptography Polar codes Secret key cryptosystem
2014/3/6
Polar codes are a new class of error correcting linear block codes, whose generator matrix is specified by the knowledge of transmission channel parameters, code length and code dimension. Moreover, r...
Secure Channel Coding Schemes based on Polar Codes
Joint encryption encoding scheme McEliece cryptosystem
2014/3/11
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 issu...
Secret Key Cryptosystem based on Polar Codes over Binary Erasure Channel
Code based cryptography Polar codes
2014/3/11
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 t...
We describe a successive-cancellation \emph{list} decoder for polar codes, which is a generalization of the classic successive-cancellation decoder of Ar{\i}kan. In the proposed list decoder, up to $L...
Abstract: In this paper, we study polar codes from a practical point of view. In particular, we study concatenated polar codes and rate-compatible polar codes. First, we propose a concatenation scheme...
Multilevel Polarization of Polar Codes Over Arbitrary Discrete Memoryless Channels
Polar Codes Memoryless Channels Information Theory
2011/8/30
Abstract: It is shown that the original construction of polar codes suffices to achieve the symmetric capacity of discrete memoryless channels with arbitrary input alphabet sizes. It is shown that in ...
Abstract: A generalization of the polar coding scheme is proposed. It exploits several homogeneous kernels over alphabets of different sizes. An analysis of the introduced scheme is undertaken. Specif...