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» Discrepancy of Matrices of Zeros and Ones
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COMBINATORICS
1999
83views more  COMBINATORICS 1999»
13 years 10 months ago
Discrepancy of Matrices of Zeros and Ones
Let m and n be positive integers, and let R = (r1, . . . , rm) and S = (s1, . . . , sn) be non-negative integral vectors. Let A(R, S) be the set of all m
Richard A. Brualdi, Jian Shen
DM
2010
134views more  DM 2010»
13 years 11 months ago
The discrepancy of the lex-least de Bruijn sequence
We answer the following question of R. L. Graham: What is the discrepancy of the lexicographically-least binary de Bruijn sequence? Here, "discrepancy" refers to the max...
Joshua Cooper, Christine E. Heitsch
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 11 months ago
Asymptotics for Incidence Matrix Classes
We define incidence matrices to be zero-one matrices with no zero rows or columns. We are interested in counting incidence matrices with a given number of ones, irrespective of th...
Peter J. Cameron, Thomas Prellberg, Dudley Stark
NA
2008
78views more  NA 2008»
13 years 10 months ago
A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space
(A) The celebrated Gaussian quadrature formula on finite intervals tells us that the Gauss nodes are the zeros of the unique solution of an extremal problem. We announce recent re...
S. B. Damelin
CRYPTO
2009
Springer
89views Cryptology» more  CRYPTO 2009»
14 years 5 months ago
Linear Algebra with Sub-linear Zero-Knowledge Arguments
We suggest practical sub-linear size zero-knowledge arguments for statements involving linear algebra. Given commitments to matrices over a finite field, we give a sub-linear siz...
Jens Groth