On the Weight Hierarchy of Codes Coming From Semigroups With Two Generators
On the Weight Hierarchy of Codes Coming From Semigroups With Two Generators
The weight hierarchy of one-point algebraic geometry codes can be estimated by means of the generalized order bounds, which are described in terms of a certain Weierstrass semigroup. The asymptotical behavior of such bounds for <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$r\geq 2$</tex></formula> differs from that of the classical Feng–Rao distance <formula …