Results 21 to 30 of about 16,644 (310)
Ds-bounds for cyclic codes: new bounds for abelian codes
CoRR, 2016 In this paper we develop a technique to extend any bound for cyclic codes constructed from its defining sets (ds-bounds) to abelian (or multivariate) codes. We use this technique to improve the searching of new bounds for abelian codes.
José Joaquín Bernal +2 more
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Soft Interference Cancellation for Random Coding in Massive Gaussian Multiple-Access
Entropy, 2021 In 2017, Polyanskiy showed that the trade-off between power and bandwidth efficiency for massive Gaussian random access is governed by two fundamentally different regimes: low power and high power. For both regimes, tight performance bounds were found by
Ralf R. Müller
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Discrete Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uri Blass, Iiro S. Honkala, Simon Litsyn
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Sliding-window dynamic frameproof codes [PDF]
, 2007 A sliding-window dynamic frameproof code is a scheme for discouraging the piracy of digital broadcasts through the use of digital fingerprinting. In this paper, we formally define sliding-window dynamic frameproof codes and provide optimal constructions ...
Paterson, Maura, Paterson, Maura B.
core +1 more source
Binary Fuzzy Codes and Some Properties of Hamming Distance of Fuzzy Codes
Fuzzy Information and Engineering, 2023 In this paper, we discussed binary fuzzy codes over a vector space F2n by relating classical codes with the probability of a binary symmetric channel (BSC) for receiving a sent codeword correctly. We used the weight of error patterns between a received
Mezgebu Manmekto Gereme +2 more
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Simple and general bounds on quantum random access codes [PDF]
QuantumRandom access codes are a type of communication task that is widely used in quantum information science. The optimal average success probability that can be achieved through classical strategies is known for any random access code.
Máté Farkas +2 more
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Locating and Identifying Codes in Circulant Graphs
Discrete Dynamics in Nature and Society, 2021 Identifying and locating-dominating codes have been studied widely in circulant graphs. Recently, Ville Junnila et al. (Optimal bounds on codes for location in circulant graphs, Cryptography and Communications; 2019) studied identifying and locating ...
Shu Jiao Song, Weiqian Zhang, Can Xu
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Error Exponents of LDPC Codes under Low-Complexity Decoding
Entropy, 2021 This paper deals with the specific construction of binary low-density parity-check (LDPC) codes. We derive lower bounds on the error exponents for these codes transmitted over the memoryless binary symmetric channel (BSC) for both the well-known maximum ...
Pavel Rybin +2 more
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IEEE Transactions on Information Theory, 2011 The maximum size of a binary code is studied as a function of its length N, minimum distance D, and minimum codeword weight W. This function B(N,D,W) is first characterized in terms of its exponential growth rate in the limit as N tends to infinity for fixed d=D/N and w=W/N.
Christine Bachoc +4 more
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Bounds on the Reliability of RaptorQ Codes in the Finite-Length Regime
IEEE Access, 2017 In this paper we analyze the bounds on the reliability of RaptorQ codes under maximum likelihood decoding, especially in the finite-length regime. RaptorQ code ensembles by a high-order low density generator-matrix (LDGM) code as pre-code and an inner ...
Ke Zhang, Qinyu Zhang, Jian Jiao
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