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» Constructing Small-Bias Sets from Algebraic-Geometric Codes
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DM
2007
112views more  DM 2007»
13 years 5 months ago
Affine blocking sets, three-dimensional codes and the Griesmer bound
We construct families of three-dimensional linear codes that attain the Griesmer bound and give a probablistic construction of linear codes that are close to the Griesmer bound. Al...
Simeon Ball, Elisa Montanucci
ECCC
2010
147views more  ECCC 2010»
13 years 7 hour ago
A Note on Amplifying the Error-Tolerance of Locally Decodable Codes
Trevisan [Tre03] suggested a transformation that allows amplifying the error rate a code can handle. We observe that this transformation, that was suggested in the non-local setti...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
14 years 5 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
ASIACRYPT
2008
Springer
13 years 7 months ago
Strongly Multiplicative and 3-Multiplicative Linear Secret Sharing Schemes
Strongly multiplicative linear secret sharing schemes (LSSS) have been a powerful tool for constructing secure multi-party computation protocols. However, it remains open whether o...
Zhifang Zhang, Mulan Liu, Yeow Meng Chee, San Ling...
DCC
2004
IEEE
14 years 4 months ago
LDPC Codes from Triangle-Free Line Sets
We study sets of lines of AG(n, q) and PG(n, q) with the property that no three lines form a triangle. As a result the associated point-line incidence graph contains no 6-cycles a...
Keith E. Mellinger