AbstractWe develop new coset bounds for algebraic geometric codes. The bounds have a natural interpretation as an adversary threshold for algebraic geometric secret sharing schemes and lead to improved bounds for the minimum distance of an AG code. Our bounds improve both floor bounds and order bounds and provide for the first time a connection between the two types of bounds
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Abstract. In the literature about algebraic geometry codes one finds a lot of results improving Gopp...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
AbstractWe develop new coset bounds for algebraic geometric codes. The bounds have a natural interpr...
The main goal of this work is to improve algebraic geometric/number theoretic constructions of error...
The main goal of this work is to improve algebraic geometric/number theoretic constructions of error...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
107 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.Secondly, we use algebraic fu...
107 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.Secondly, we use algebraic fu...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are a...
The order bound for the minimum distance of algebraic geometry codes was originally defined for the ...
AbstractAlgebraic geometric codes (or AG codes) provide a way to correct errors that occur during th...
AbstractThe order bound gives an in general very good lower bound for the minimum distance of one-po...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Abstract. In the literature about algebraic geometry codes one finds a lot of results improving Gopp...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
AbstractWe develop new coset bounds for algebraic geometric codes. The bounds have a natural interpr...
The main goal of this work is to improve algebraic geometric/number theoretic constructions of error...
The main goal of this work is to improve algebraic geometric/number theoretic constructions of error...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
107 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.Secondly, we use algebraic fu...
107 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.Secondly, we use algebraic fu...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are a...
The order bound for the minimum distance of algebraic geometry codes was originally defined for the ...
AbstractAlgebraic geometric codes (or AG codes) provide a way to correct errors that occur during th...
AbstractThe order bound gives an in general very good lower bound for the minimum distance of one-po...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Abstract. In the literature about algebraic geometry codes one finds a lot of results improving Gopp...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...