scholarly journals Square Span Programs with Applications to Succinct NIZK Arguments

2014 ◽  
pp. 532-550 ◽  
Author(s):  
George Danezis ◽  
Cédric Fournet ◽  
Jens Groth ◽  
Markulf Kohlweiss
Keyword(s):  
Span Programs

scholarly journals Lower bounds for monotone span programs

1995 ◽  
Author(s):  
A. Beimel ◽  
A. Gal ◽  
M. Paterson
Keyword(s):  
Lower Bounds ◽  
Monotone Span Programs ◽  
Span Programs

On the Size of Monotone Span Programs

2005 ◽  
pp. 249-262 ◽  
Author(s):  
Ventzislav Nikov ◽  
Svetla Nikova ◽  
Bart Preneel
Keyword(s):  
Monotone Span Programs ◽  
Span Programs

On span programs

2002 ◽  
Author(s):  
M. Karchmer ◽  
A. Wigderson
Keyword(s):  
Span Programs

Exponential Lower Bounds for Monotone Span Programs

2016 ◽  
Author(s):  
Robert Robere ◽  
Toniann Pitassi ◽  
Benjamin Rossman ◽  
Stephen A. Cook
Keyword(s):  
Lower Bounds ◽  
Monotone Span Programs ◽  
Span Programs

scholarly journals Lower Bounds for Monotone Span Programs

1994 ◽  
Vol 1 (46) ◽  
Author(s):  
Amos Beimel
Keyword(s):  
Lower Bounds ◽  
Secret Sharing ◽  
Algebraic Model ◽  
New Technique ◽  
Secret Sharing Schemes ◽  
Branching Programs ◽  
Model Of Computation ◽  
Monotone Span Programs ◽  
Span Programs ◽  
A New Technique

The model of span programs is a linear algebraic model of computation. Lower bounds for span programs imply lower bounds for contact schemes, symmetric branching programs and for formula size. Monotone span programs correspond also to linear secret-sharing schemes. We present a new technique for proving lower bounds for monotone span programs. The main result proved here yields quadratic lower bounds for the size of monotone span programs, improving on the largest previously known bounds for explicit functions. The bound is asymptotically tight for the function corresponding to a class of 4-cliques.

Span Programs

2011 ◽  
pp. 229-243
Author(s):  
Stasys Jukna
Keyword(s):  
Span Programs

A characterization of span program size and improved lower bounds for monotone span programs

2001 ◽  
Vol 10 (4) ◽  
pp. 277-296 ◽  
Author(s):  
Ana G�l
Keyword(s):  
Lower Bounds ◽  
Monotone Span Programs ◽  
Span Programs

Span Programs are Equivalent to Quantum Query Algorithms

2014 ◽  
Vol 43 (3) ◽  
pp. 1206-1219 ◽  
Author(s):  
Ben W. Reichardt
Keyword(s):  
Span Programs ◽  
Quantum Query ◽  
Query Algorithms

Extremal bipartite graphs and superpolynomial lower bounds for monotone span programs

1996 ◽  
Author(s):  
László Babai ◽  
Anna Gál ◽  
János Kollár ◽  
Lajos Rónyai ◽  
Tibor Szabó ◽  
...  
Keyword(s):  
Lower Bounds ◽  
Bipartite Graphs ◽  
Monotone Span Programs ◽  
Span Programs

scholarly journals Separating the Power of Monotone Span Programs over Different Fields

2005 ◽  
Vol 34 (5) ◽  
pp. 1196-1215 ◽  
Author(s):  
Amos Beimel ◽  
Enav Weinreb
Keyword(s):  
Monotone Span Programs ◽  
Span Programs
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