AG codes and AG quantum codes from the GGS curve

作者：Bartoli Daniele^*; Montanucci Maria; Zini Giovanni

来源：Designs, Codes and Cryptography, 2018, 86(10): 2315-2344.

DOI：10.1007/s10623-017-0450-5

• GGS curve
• AG code
• Quantum code
• Convolutional code
• Code automorphisms

In this paper, algebraic-geometric (AG) codes associated with the GGS maximal curve are investigated. The Weierstrass semigroup at all -rational points of the curve is determined; the Feng-Rao designed minimum distance is computed for infinite families of such codes, as well as the automorphism group. As a result, some linear codes with better relative parameters with respect to one-point Hermitian codes are discovered. Classes of quantum and convolutional codes are provided relying on the constructed AG codes.

• 出版日期2018-10
• 单位Perugia