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Asymmetric Numeral Systems (ANS) proposed by Jarek Duda are high-performance distortionless data compression schemes that can achieve almost the same compression performance as arithmetic codes with less arithmetic operations than…

Information Theory · Computer Science 2024-08-15 Hirosuke Yamamoto , Ken-ichi Iwata

Compression also known as entropy coding has a rich and long history. However, a recent explosion of multimedia Internet applications (such as teleconferencing and video streaming for instance) renews an interest in fast compression that…

Information Theory · Computer Science 2023-05-10 Josef Pieprzyk , Jarek Duda , Marcin Pawlowski , Seyit Camtepe , Arash Mahboubi , Pawel Morawiecki

Entropy coding is the backbone data compression. Novel machine-learning based compression methods often use a new entropy coder called Asymmetric Numeral Systems (ANS) [Duda et al., 2015], which provides very close to optimal bitrates and…

Machine Learning · Statistics 2022-01-11 Robert Bamler

Asymmetric Numeral Systems (ANS) is a class of entropy encoders that had an immense impact on the data compression, substituting arithmetic and Huffman coding. It was studied by different authors but the precise asymptotics of its…

Information Theory · Computer Science 2026-02-04 Dmitry Kosolobov

The modern data compression is mainly based on two approaches to entropy coding: Huffman (HC) and arithmetic/range coding (AC). The former is much faster, but approximates probabilities with powers of 2, usually leading to relatively low…

Information Theory · Computer Science 2014-01-07 Jarek Duda

This paper proposes a new lossless data compression coding scheme named an asymmetric encoding-decoding scheme (AEDS), which can be considered as a generalization of tANS (tabled variant of asymmetric numeral systems). In the AEDS, a data…

Information Theory · Computer Science 2026-01-26 Hirosuke Yamamoto , Ken-ichi Iwata

In this paper will be presented new approach to entropy coding: family of generalizations of standard numeral systems which are optimal for encoding sequence of equiprobable symbols, into asymmetric numeral systems - optimal for freely…

Information Theory · Computer Science 2009-05-21 Jarek Duda

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation.…

Information Theory · Computer Science 2016-11-17 Oscar Y. Takeshita

We investigate dense coding by imposing various locality restrictions to our decoder by employing the resource theory of asymmetry framework. In this task, the sender Alice and the receiver Bob share an entangled state. She encodes the…

Quantum Physics · Physics 2024-09-10 Masahito Hayashi , Kun Wang

Lossless compression implementations typically contain two programs, an encoder and a decoder, which are required to be inverse to one another. We observe that a significant class of compression methods, based on asymmetric numeral systems…

Programming Languages · Computer Science 2022-11-24 James Townsend , Jan-Willem van de Meent

Entropy coding is essential to data compression, image and video coding, etc. The Range variant of Asymmetric Numeral Systems (rANS) is a modern entropy coder, featuring superior speed and compression rate. As rANS is not designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Fangzheng Lin , Kasidis Arunruangsirilert , Heming Sun , Jiro Katto

This paper proposed the application of post-encryption-compression (PEC) to strengthen the secrecy in the case of distributed encryption where the encryption keys are correlated to each other. We derive the universal code construction for…

Information Theory · Computer Science 2018-01-17 Bagus Santoso , Yasutada Oohama

Turbo-Codes (TC) are a family of convolutional codes enabling Forward-Error-Correction (FEC) while approaching the theoretical limit of channel capacity predicted by Shannons theorem. One of the bottlenecks of a Turbo Encoder (TE) lies in…

Information Theory · Computer Science 2023-08-30 Ohad Boxerman , Moshe Bensimon , Shlomo Greenberg , Yehuda Ben-Shimol

We introduce a protocol called ENCORE which simultaneously compresses and encrypts data in a one-pass process that can be implemented efficiently and possesses a number of desirable features as a streaming encoder/decoder. Motivated by the…

Cryptography and Security · Computer Science 2025-01-28 Joshua Cooper , Grant Fickes

It is shown that an i.i.d. binary source sequence $X_1, \ldots, X_n$ can be losslessly compressed at any rate above entropy such that the individual decoding of any $X_i$ reveals \emph{no} information about the other bits $\{X_j : j \neq…

Information Theory · Computer Science 2025-11-19 Venkat Chandar , Aslan Tchamkerten , Shashank Vatedka

An unconventional encoding scheme called concurrent coding, has recently been demonstrated and shown to offer interesting features and benefits in comparison to conventional techniques, e.g. robustness against burst errors and improved…

Information Theory · Computer Science 2020-06-29 David M Benton

Consider a large database of $n$ data items that need to be stored using $m$ servers. We study how to encode information so that a large number $k$ of read requests can be performed in parallel while the rate remains constant (and ideally…

Information Theory · Computer Science 2014-10-14 Alexandros G. Dimakis , Anna Gal , Ankit Singh Rawat , Zhao Song

There is a class of entropy-coding methods which do not substitute symbols by code words (such as Huffman coding), but operate on intervals or ranges. This class includes three prominent members: conventional arithmetic coding, range…

Information Theory · Computer Science 2025-07-04 Tilo Strutz , Nico Schreiber

The exponential growth in data generation and large-scale data analysis creates an unprecedented need for inexpensive, low-latency, and high-density information storage. This need has motivated significant research into multi-level memory…

Communication in the presence of bounded timing asynchronism which is known to the receiver but cannot be easily compensated is studied. Examples of such situations include point-to-point communication over inter-symbol interference (ISI)…

Information Theory · Computer Science 2014-11-18 Ping-Chung Wang , Yu-Chih Huang , Krishna R. Narayanan
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