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SIAMDM
2010
137views more  SIAMDM 2010»
15 years 21 days ago
Repetition Error Correcting Sets: Explicit Constructions and Prefixing Methods
In this paper we study the problem of finding maximally sized subsets of binary strings (codes) of equal length that are immune to a given number r of repetitions, in the sense th...
Lara Dolecek, Venkat Anantharam
80
Voted
ICASSP
2008
IEEE
15 years 8 months ago
Decoding real-field codes by an iterative Expectation-Maximization (EM) algorithm
In this paper, a new approach for decoding real-field codes based on finding sparse solutions of underdetermined linear systems is proposed. This algorithm iteratively estimates...
Hadi Zayyani, Massoud Babaie-Zadeh, Christian Jutt...
87
Voted
IMA
2001
Springer
80views Cryptology» more  IMA 2001»
15 years 6 months ago
Spectrally Bounded Sequences, Codes, and States: Graph Constructions and Entanglement
A recursive construction is provided for sequence sets which possess good Hamming Distance and low Peak-to-Average Power Ratio (PAR) under any Local Unitary Unimodular Transform. W...
Matthew G. Parker
117
Voted
ICC
2007
IEEE
185views Communications» more  ICC 2007»
15 years 6 months ago
Systematic Modification of Parity-Check Matrices for Efficient Encoding of LDPC Codes
An algorithm for efficient encoding of LDPC codes is presented that does not impose any restrictions on the construction of the parity-check matrices. The algorithm modifies the pa...
Mohamed Shaqfeh, Norbert Görtz
112
Voted
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
15 years 4 months ago
Corruption and Recovery-Efficient Locally Decodable Codes
A (q, , )-locally decodable code (LDC) C : {0, 1}n {0, 1}m is an encoding from n-bit strings to m-bit strings such that each bit xk can be recovered with probability at least 1 2 +...
David P. Woodruff