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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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Quantum error-correcting codes and 4-dimensional arithmetic hyperbolic manifolds [PDF]
, 2013 Using 4-dimensional arithmetic hyperbolic manifolds, we construct some new homological quantum error correcting codes. They are LDPC codes with linear rate and distance $n^\epsilon$.
Alexander Lubotzky +13 more
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Adaptive Frequency and Assignment Algorithm for Context-Based Arithmetic Compression Codes for H.264 Video Intraframe Encoding [PDF]
Engineering ProceedingsIn modern communication technology, short videos are increasingly used on social media platforms. The advancement of video codecs is pivotal in communication. In this study, we developed a new scheme to encode the residue of intraframes.
Huang-Chun Hsu, Jian-Jiun Ding
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Semantic Arithmetic Coding Using Synonymous Mappings. [PDF]
Entropy (Basel)Recent semantic communication methods explore effective ways to expand the communication paradigm and improve the performance of communication systems. Nonetheless, a common problem with these methods is that the essence of semantics is not explicitly pointed out and directly utilized.
Liang Z, Niu K, Xu J, Zhang P.
europepmc +5 more sources
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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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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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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Asymptotically MDS Array BP-XOR Codes [PDF]
, 2017 Belief propagation or message passing on binary erasure channels (BEC) is a low complexity decoding algorithm that allows the recovery of message symbols based on bipartite graph prunning process.
Arslan, Suayb S.
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