1. Weight distribution of Hermitian codes and matrices rank.
- Author
-
Pellegrini, Marco and Sala, Massimiliano
- Subjects
- *
PARITY-check matrix , *FINITE fields , *MATRICES (Mathematics) , *CIPHERS , *RANKING - Abstract
We are interested in calculating the weight distribution of Hermitian codes over the finite field with q 2 elements. In this work we show that, if we can compute the partial weight distribution for about q 2 weights, then we will easily compute the whole weight distribution (which has about q 3 values). To achieve this, we actually show that the computation of a given element of the weight distribution is equivalent to a less laborious task, which is the classification of some submatrices of the parity-check matrix according to their rank. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF