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MOC
2010
13 years 2 days ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer
ASAP
2004
IEEE
160views Hardware» more  ASAP 2004»
13 years 9 months ago
Architectural Support for Arithmetic in Optimal Extension Fields
Public-key cryptosystems generally involve computation-intensive arithmetic operations, making them impractical for software implementation on constrained devices such as smart ca...
Johann Großschädl, Sandeep S. Kumar, Ch...
CRYPTO
1991
Springer
150views Cryptology» more  CRYPTO 1991»
13 years 8 months ago
CM-Curves with Good Cryptographic Properties
Our purpose is to describe elliptic curves with complex multiplication which in characteristic 2 have the following useful properties for constructing Diffie-HeUman type cryptosys...
Neal Koblitz
ECCC
2006
120views more  ECCC 2006»
13 years 5 months ago
New Locally Decodable Codes and Private Information Retrieval Schemes
A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin
STOC
2007
ACM
179views Algorithms» more  STOC 2007»
14 years 5 months ago
Towards 3-query locally decodable codes of subexponential length
A q-query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin