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» Constructing Small-Bias Sets from Algebraic-Geometric Codes
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DM
2007
112views more  DM 2007»
13 years 10 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 5 months 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 11 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
14 years 26 days 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 10 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