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Arithmetic Codes for Constrained Channels
IBM Journal of Research and Development, 1983Arithmetic 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, 1997Summary: 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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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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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, 1978Error-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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An Introduction to Arithmetic Coding
IBM Journal of Research and Development, 1984Summary: Arithmetic coding is a data compression technique that encodes data (the data string) by creating a code string which represents a fractional value on the number line between 0 and 1. The coding algorithm is symbolwise recursive; i.e., it operates upon and encodes (decodes) one data symbol per iteration or recursion.
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Embedding channel coding in arithmetic coding
IEE Proceedings - Communications, 1999An arithmetic coding algorithm that incorporates channel coding is presented. For a source alphabet with m symbols, the selected m code points over the [0-1) interval have a desired minimum Hamming distance d/sub min/ between them. The decoder utilises this d/sub min/ in conjunction with the self-synchronisation property of arithmetic coding and ...
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Error Codes for Arithmetic Operations
IEEE Transactions on Electronic Computers, 1966This paper classifies error correcting codes for arithmetic and provides the necessary and sufficient conditions for the various code classes. Particular attention is given to the arithmetic properties of the codes. It is shown that the Brown codes and the Henderson codes are examples of a general class of nonseparate, nonsystematic codes.
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The Arithmetic Optimization Algorithm
Computer Methods in Applied Mechanics and Engineering, 2021Laith Mohammad Abualigah +2 more
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MXene Ti3C2 memristor for neuromorphic behavior and decimal arithmetic operation applications
Nano Energy, 2021Jingsheng Chen, Xiaobing Yan
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