Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower

نویسندگان

  • Olav Geil
  • Stefano Martin
  • Umberto Martínez-Peñas
  • Diego Ruano
چکیده

Asymptotically good sequences of ramp secret sharing schemes were given in [4] by using one-point algebraic geometric codes defined from asymptotically good towers of function fields. Their security is given by the relative generalized Hamming weights of the corresponding codes. In this paper we demonstrate how to obtain refined information on the RGHWs when the codimension of the codes is small. For general codimension, we give an improved estimate for the highest RGHW.

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عنوان ژورنال:
  • CoRR

دوره abs/1511.06230  شماره 

صفحات  -

تاریخ انتشار 2015