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SIAMDM
2010
137views more  SIAMDM 2010»
15 years 4 months 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
117
Voted
ICASSP
2008
IEEE
16 years 14 days 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...
IMA
2001
Springer
80views Cryptology» more  IMA 2001»
15 years 10 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
ICC
2007
IEEE
185views Communications» more  ICC 2007»
15 years 10 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
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
15 years 8 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