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» A Note On Reed's Conjecture
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93
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DCC
2008
IEEE
15 years 11 months ago
An improved list decoding algorithm for the second order Reed-Muller codes and its applications
We propose an algorithm which is an improved version of the Kabatiansky-Tavernier list decoding algorithm for the second order binary Reed-Muller code RM(2, m), of length n = 2m , ...
Rafaël Fourquet, Cédric Tavernier
89
Voted
DCC
2002
IEEE
15 years 11 months ago
Subcodes of the Projective Generalized Reed-Muller Codes Spanned by Minimum-Weight Vectors
We use methods of Mortimer [19] to examine the subcodes spanned by minimumweight vectors of the projective generalized Reed-Muller codes and their duals. These methods provide a p...
Peng Ding, Jennifer D. Key
DAM
2008
101views more  DAM 2008»
14 years 11 months ago
Degree constrained subgraphs
In this paper, we present new structural results about the existence of a subgraph where the degrees of the vertices are pre-specified. Further, we use these results to prove a 16...
Louigi Addario-Berry, Ketan Dalal, Bruce A. Reed
DCC
2006
IEEE
15 years 11 months ago
Self-Reciprocal Irreducible Pentanomials Over F2
Joseph Yucas and Gary Mullen conjectured that there is no self-reciprocal irreducible pentanomial of degree n over F2 if n is divisible by 6. In this note we prove this conjecture ...
Omran Ahmadi
ECCC
2006
75views more  ECCC 2006»
14 years 11 months ago
Note on MAX 2SAT
In this note we present an approximation algorithm for MAX 2SAT that given a (1 - ) satisfiable instance finds an assignment of variables satisfying a 1 - O( ) fraction of all co...
Moses Charikar, Konstantin Makarychev, Yury Makary...