Special Session 78: 

Minimal codes in odd characteristic

Daniele Bartoli
University of Perugia
Italy
Co-Author(s):    Matteo Bonini, Burcin Gunes, Martino Borello
Abstract:
Let C be a linear code. A codeword c of C is said to be a minimal codeword if its support (i.e. the set of non-zero coordinates) does not contain the support of any other independent codeword. A linear code is said minimal if all its nonzero codewords are minimal. It is known that minimal codewords can be used in linear codes-based access structures in secret sharing schemes (SSS), which are protocols with a distribution algorithm and a reconstruction algorithm, implemented by a dealer and some participants. Recently, many constructions of minimal codes appeared in the literature. Here we present some new constructions of minimal codes in odd characteristic.