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Arithmetic completely regular codes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 In this paper, we explore completely regular codes in the Hamming graphs and related graphs. Experimental evidence suggests that many completely regular codes have the property that the eigenvalues of the code are in arithmetic progression.
Jacobus Koolen +3 more
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Approximator: A Software Tool for Automatic Generation of Approximate Arithmetic Circuits
Computers, 2022 Approximate arithmetic circuits are an attractive alternative to accurate arithmetic circuits because they have significantly reduced delay, area, and power, albeit at the cost of some loss in accuracy.
Padmanabhan Balasubramanian +3 more
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Post-Quantum and Code-Based Cryptography—Some Prospective Research Directions
Cryptography, 2021 Cryptography has been used from time immemorial for preserving the confidentiality of data/information in storage or transit. Thus, cryptography research has also been evolving from the classical Caesar cipher to the modern cryptosystems, based on ...
Chithralekha Balamurugan +3 more
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Arithmetic coding revisited [PDF]
ACM Transactions on Information Systems, 1998 Over the last decade, arithmetic coding has emerged as an important compression tool. It is now the method of choice for adaptive coding on myltisymbol alphabets because of its speed, low storage requirements, and effectiveness of compression.
Alistair Moffat +2 more
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Error-Correction Coding Using Polynomial Residue Number System
Applied Sciences, 2022 There has been a tendency to use the theory of finite Galois fields, or GF(2n), in cryptographic ciphers (AES, Kuznyechik) and digital signal processing (DSP) systems.
Igor Anatolyevich Kalmykov +4 more
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Signature and Residue Testing of Microprogrammable Control Units
IEEE Access, 2016 Arithmetic and algebraic codes are used in testing to verify arithmetic and logical operations performed by digital circuits. An important unit of the hardware that implements arithmetic codes is a residue generator.
Vadim Geurkov
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Arithmetic Coding for Data Compression [PDF]
Proceedings of the IEEE, 1994 Arithmetic coding provides an effective mechanism for removing redundancy in the encoding of data. We show how arithmetic coding works and describe an efficient implementation that uses table lookup as a first alternative to arithmetic operations. The reduced-precision arithmetic has a provably negligible effect on the amount of compression achieved ...
Paul G. Howard, Jeffrey Scott Vitter
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Mathematics, 2022 A questionnaire is a basic tool for collecting information in survey research. Often, these questions are measured using a Likert scale. With multiple items on the same broad object, these codes could be summed or averaged to give an indication of each ...
Juan Moreno-Garcia +3 more
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Developmental Cognitive Neuroscience, 2022 Numerical cognition can take place in multiple representational formats, such as Arabic digits (e.g., 1), verbal number words (e.g., “two”), and nonsymbolic (e.g., •••) numerical magnitude.
Mikael Skagenholt +2 more
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On Some Computational and Applications of Finite Fields
Ratio Mathematica, 2020 Finite field is a wide topic in mathematics. Consequently, none can talk about the whole contents of finite fields. That is why this research focuses on small content of finite fields such as polynomials computational, ring of integers modulo p where p ...
Jean Pierre Muhirwa
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