Results 11 to 20 of about 1,005,908 (254)
A Mathematical Perspective on Post-Quantum Cryptography
Mathematics, 2022 In 2016, the National Institute of Standards and Technology (NIST) announced an open competition with the goal of finding and standardizing suitable algorithms for quantum-resistant cryptography.
Maximilian Richter +3 more
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Linear Codes over Finite Rings
Trends in Computational and Applied Mathematics, 2005 In this paper we present a construction technique of cyclic, BCH, alternat, Goppa and Srivastava codes over a local finite commutative rings with identity.
A.A. de Andrade, R. Palazzo Jr.
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Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes
Ratio Mathematica, 2022 During the digital transmission of information, errors are bound to occur. The errors may be random or burst errors. In this paper, we have obtained necessary and sufficient conditions for the existence of linear codes over that are capable of ...
Ritu Arora +3 more
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Linear codes resulting from finite group actions [PDF]
Transactions on Combinatorics, 2022 In this article, we use group action theory to define some important ternary linear codes. Some of these codes are self-orthogonal having a minimum distance achieving the lower bound in the previous records. Then, we define two new codes sharing the same
Driss Harzalla
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Projective parameterized linear codes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we estimate the main parameters of some evaluation codes which are known as projective parameterized codes. We find the length of these codes and we give a formula for the dimension in terms of the Hilbert function associated to two ideals,
González Sarabia Manuel +2 more
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Partial IDS decoding based on the base graph of protograph LDPC codes
IET Communications, 2023 The residual belief propagation (RBP) algorithm, which is the most classic informed dynamic scheduling strategy, achieves outstanding performance in error correction and can drastically accelerate convergence speed.
Shuo Liang, Xingcheng Liu, Suipeng Xie
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On Block-Coded Modulation Using Unequal Error Protection Codes Over Rayleigh-Fading Channels [PDF]
, 1998 This paper considers block-coded 8-phase-shift-keying (PSK) modulations for the unequal error protection (UEP) of information transmitted over Rayleigh-fading channels.
Imai, Hideki +3 more
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Моделирование и анализ информационных систем, 2022 Line codes are widely used to protect against errors in data transmission and storage systems, to ensure the stability of various cryptographic algorithms and protocols, to protect hidden information from errors in a stegocontainer. One of the classes of
Yury V. Kosolapov +2 more
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Weight distributions for projective binary linear codes from Weil sums
AIMS Mathematics, 2021 A class of projective binary linear codes are constructed and their weight distributions are investigated using Weil sums. They have at most three nonzero weights, containing some optimal codes.
Shudi Yang, Zheng-An Yao
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Low-Complexity LP Decoding of Nonbinary Linear Codes [PDF]
, 2013 Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has attracted much attention in the research community in the past few years. LP decoding has been derived for binary and nonbinary linear codes.
Mark F. Flanagan +5 more
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