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» Improved upper bounds on sizes of codes
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IPL
2010
82views more  IPL 2010»
13 years 4 months ago
New upper bounds on the Boolean circuit complexity of symmetric functions
In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5n + o(n) for any symmetric ...
E. Demenkov, Arist Kojevnikov, Alexander S. Kuliko...
GLOBECOM
2009
IEEE
14 years 15 days ago
Random Linear Network Coding for Time-Division Duplexing: Field Size Considerations
Abstract— We study the effect of the field size on the performance of random linear network coding for time division duplexing channels proposed in [1]. In particular, we study ...
Daniel Enrique Lucani, Muriel Médard, Milic...
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
13 years 5 months ago
New Bounds for Codes Identifying Vertices in Graphs
Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...
SCN
2004
Springer
102views Communications» more  SCN 2004»
13 years 11 months ago
On the Size of Monotone Span Programs
Abstract. Span programs provide a linear algebraic model of computation. Monotone span programs (MSP) correspond to linear secret sharing schemes. This paper studies the properties...
Ventzislav Nikov, Svetla Nikova, Bart Preneel
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 5 months ago
Bounds for binary codes relative to pseudo-distances of k points
We apply Schrijver's semidefinite programming method to obtain improved upper bounds on generalized distances and list decoding radii of binary codes.
Christine Bachoc, Gilles Zémor