Results 1 to 10 of about 2,970,663 (274)
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
doaj +5 more sources
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
core +4 more sources
Error Recovery Properties and Soft Decoding of Quasi-Arithmetic Codes
EURASIP Journal on Advances in Signal Processing, 2007 This paper first introduces a new set of aggregated state models for soft-input decoding of quasi arithmetic (QA) codes with a termination constraint. The decoding complexity with these models is linear with the sequence length. The aggregation parameter
Christine Guillemot +2 more
doaj +2 more sources
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
doaj +2 more sources
Nonlinear recurrences and arithmetic codes
Information and Control, 1977 We show that the binary expansion of the code numbers in an arithmetic BN-code, where B = (2e − 1)/A and e is the order of 2 mod A, may be generated by a unique nonsingular shift register of order k = [log2 A]. The shift register is linear if and only if A = 2k − 1 or 2k−1 + 1.
J. Mykkeltveit
openaire +2 more sources
How well do Large Language Models perform in Arithmetic tasks? [PDF]
arXiv.org, 2023 Large language models have emerged abilities including chain-of-thought to answer math word problems step by step. Solving math word problems not only requires abilities to disassemble problems via chain-of-thought but also needs to calculate arithmetic ...
Zheng Yuan +4 more
semanticscholar +1 more source
Distributed Coding Using Punctured Quasi-Arithmetic Codes for Memory and Memoryless Sources
IEEE Transactions on Signal Processing, 2009 Simon Malinowski +2 more
exaly +2 more sources
Neuronal codes for arithmetic rule processing in the human brain.
Current Biology, 2022 Arithmetic is a cornerstone of scientifically and technologically advanced human culture, but its neuronal mechanisms are poorly understood. Calculating with numbers requires temporary maintenance and manipulation of numerical information according to ...
E. Kutter +4 more
semanticscholar +1 more source
The Arithmetic Optimization Algorithm
Computer Methods in Applied Mechanics and Engineering, 2021 This work proposes a new meta-heuristic method called Arithmetic Optimization Algorithm (AOA) that utilizes the distribution behavior of the main arithmetic operators in mathematics including (Multiplication ( M ), Division ( D ), Subtraction ( S ), and ...
L. Abualigah +6 more
semanticscholar +1 more source