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» On the order bound for one-point AG codes
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CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 5 months ago
On the order bound for one-point AG codes
The order bound for the minimum distance of algebraic geometry codes is defined for the dual of one-point codes. A new bound for the minimum distance of linear codes, and for codes...
Olav Geil, Carlos Munuera, Diego Ruano, Fernando T...
FFA
2010
139views more  FFA 2010»
13 years 3 months ago
Coset bounds for algebraic geometric codes
We 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 le...
Iwan M. Duursma, Seungkook Park
CORR
2010
Springer
84views Education» more  CORR 2010»
13 years 5 months ago
On some invariants in numerical semigroups and estimations of the order bound
Let S = {si}iIN IN be a numerical semigroup. For si S, let (si) denote the number of pairs (si -sj, sj) S2 . When S is the Weierstrass semigroup of a family {Ci}iIN of one-point...
Anna Oneto, Grazia Tamone
TIT
1998
85views more  TIT 1998»
13 years 5 months ago
Generalized Hamming Weights of q-ary Reed-Muller Codes
The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the one point geometric Goppa codes as the q-ary Reed-M...
Petra Heijnen, Ruud Pellikaan