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» A Note On Reed's Conjecture
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DCC
2008
IEEE
14 years 5 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
DCC
2002
IEEE
14 years 5 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»
13 years 6 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
14 years 5 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»
13 years 6 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...