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» Lower Bounds on the Rate-Distortion Function of LDGM Codes
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DCC
2005
IEEE
14 years 7 months ago
Highly Nonlinear Resilient Functions Through Disjoint Codes in Projective Spaces
Functions which map n-bits to m-bits are important cryptographic sub-primitives in the design of additive stream ciphers. We construct highly nonlinear t-resilient such functions (...
Pascale Charpin, Enes Pasalic
CORR
2011
Springer
200views Education» more  CORR 2011»
13 years 2 months ago
Beating the Gilbert-Varshamov Bound for Online Channels
In the online channel coding model, a sender wishes to communicate a message to a receiver by transmitting a codeword x = (x1, . . . , xn) ∈ {0, 1}n bit by bit via a channel lim...
Ishay Haviv, Michael Langberg
DAM
1998
88views more  DAM 1998»
13 years 7 months ago
Neither Reading Few Bits Twice Nor Reading Illegally Helps Much
We first consider so-called (1,+s)-branching programs in which along every consistent path at most s variables are tested more than once. We prove that any such program computing...
Stasys Jukna, Alexander A. Razborov
ECCC
2011
188views ECommerce» more  ECCC 2011»
13 years 2 months ago
Three Query Locally Decodable Codes with Higher Correctness Require Exponential Length
Locally decodable codes are error correcting codes with the extra property that, in order to retrieve the correct value of just one position of the input with high probability, it...
Anna Gál, Andrew Mills
COCO
2003
Springer
145views Algorithms» more  COCO 2003»
14 years 21 days ago
Hardness vs. Randomness within Alternating Time
We study the complexity of building pseudorandom generators (PRGs) with logarithmic seed length from hard functions. We show that, starting from a function f : {0, 1}l → {0, 1} ...
Emanuele Viola