An h h-interleaved one-point Hermitian code is a direct sum of hh many one-point Hermitian
codes, where errors are assumed to occur at the same positions in the constituent …

We present an efficient list decoding algorithm in the style of Guruswami-Sudan for algebraic
geometry codes. Our decoder can decode any such code using operations in the underlying …

We investigate algorithms for encoding of one-point algebraic geometry (AG) codes over
certain plane curves called Cab curves, as well as algorithms for inverting the encoding …

In this article, we present a fast algorithm performing an instance of the Guruswami-Sudan
list decoder for algebraic geometry codes. We show that any such code can be decoded in …

In this paper we consider algebraic geometry (AG) codes: a class of codes constructed from
algebraic codes (equivalently, using function fields) by Goppa. These codes can be list …

Code-based cryptography is an interesting alternative to classic number-theoretic public key
cryptosystem since it is conjectured to be secure against quantum computer attacks. Many …

The multipoint codes from algebraic curves are a broad class of algebraic geometry codes
derived from algebraic functions, which have multiple poles/zeros on their defining curves …

We present a good bound for the generalized Hamming weights of multi-point evaluation
and differential AG codes. It is a natural generalization of the order bound for one-point AG …

Multipoint codes are a broad class of algebraic geometry codes derived from algebraic
functions, which have multiple poles and/or zeros on an algebraic curve. Thus, they are …

Previous algorithms for decoding AG codes up to the designed distance all assumed
existence of an extra rational place on the base algebraic curve. The place is used to solve …