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Arithmetic Coding

IBM Journal of Research and Development, 1979
The earlier introduced arithmetic coding idea has been generalized to a very broad and flexible coding technique which includes virtually all known variable rate noiseless coding techniques as special cases. An outstanding feature of this technique is that alphabet extensions are not required. A complete decodability analysis is given. The relationship
Rissanen, J., Langdon, G. G. jun.
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Distributed Arithmetic Coding

IEEE Communications Letters, 2007
We propose a distributed binary arithmetic coder for Slepian-Wolf coding with decoder side information, along with a soft joint decoder. The proposed scheme provides several advantages over existing schemes, and its performance is equal to or better than that of an equivalent scheme based on turbo codes at short and medium block lengths.
GRANGETTO, MARCO   +2 more
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ARITHMETIC CODING IN PARALLEL

International Journal of Foundations of Computer Science, 2005
We present an EREW PRAM cost optimal parallel algorithm for arithmetic coding computation. We solve the problem in [Formula: see text] time using n/log n processors. Each part of the algorithm as well as a well-known parallel prefix computation forming a basis of the algorithm are clarified on simple examples.
Šupol, Jan, Melicar, Bořivoj
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Quantum arithmetic coding

2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060), 2002
We study the problem of compressing a block of symbols (a block quantum state) emitted by a memoryless quantum Bernoulli source. We present a simple-to-implement quantum algorithm for projecting, with high probability, the block quantum state onto the typical subspace spanned by the leading eigenstates of its density matrix.
I.L. Chuang, D.S. Modha
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Secure Arithmetic Coding

IEEE Transactions on Signal Processing, 2007
Although arithmetic coding offers extremely high coding efficiency, it provides little or no security as traditionally implemented. We present a modified scheme that offers both encryption and compression. The system utilizes an arithmetic coder in which the overall length within the range [0,1) allocated to each symbol is preserved, but the ...
Hyungjin Kim   +2 more
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Piecewise arithmetic coding

[1991] Proceedings. Data Compression Conference, 2002
A new coding technique, FIXARI, is easily programmed to produce fixed-length codewords quickly for partial decoding and indexing. Errors in transmission (bit switches) remain local to the keyboard. >
J. Teuhola, T. Raita
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Arithmetic Codes for Constrained Channels

IBM Journal of Research and Development, 1983
Arithmetic codes have been studied in the context of compression coding, i.e., transformations to code strings which take up less storage space or require less transmission time over a communications link. Another application of coding theory is that of noiseless channel coding, where constraints on strings in the channel symbol alphabet prevent an ...
Martin, G. Nigel N.   +2 more
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Generalized multiplication free arithmetic codes

Proceedings of ISCAS'95 - International Symposium on Circuits and Systems, 1997
Summary: Arithmetic coding is a highly efficient lossless source coding technique. Multiplication-free arithmetic coding algorithms provide an excellent tradeoff between operation complexity and coding performance. In this letter, a whole family of multiplication-free arithmetic codes, which achieve the best coding efficiency and can be used for ...
Fu, Bin, Parhi, Keshab K.
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Chaotic Arithmetic Coding

2013
Arithmetic Coding (AC) is widely used for the entropy coding of text and multimedia data. It involves recursive partitioning of the range [0,1) in accordance with the relative probabilities of occurrence of the input symbols. In this work, we present a data (image or video) encryption scheme based on arithmetic coding, which we refer to as Chaotic ...
Amit Pande, Joseph Zambreno
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Error-Correcting Codes in Binary-Coded-Decimal Arithmetic

IEEE Transactions on Computers, 1978
Error-correcting coding schemes devised for binary arithmetic are not in general applicable to BCD arithmetic. In this paper, we investigate the new problem of using such coding schemes in BCD systems. We first discuss the general characteristics of arithmetic errors and define the arithmetic weight and distance in BCD systems.
Liu, Chao-Kai, Wang, Tse Lin
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