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...
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...
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...
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...