Giacomo Micheli

Full Orbit Sequences in Affine Spaces via Fractional Jumps

2017 · arXiv (Cornell University)

Let $n$ be a positive integer. In this paper we provide a general theory to produce full orbit sequences in the affine $n$-dimensional space over a finite field. For $n=1$ our construction covers the case …

New Lower Bounds for Permutation Codes Using Linear Block Codes

2019 · IEEE Transactions on Information Theory

In this paper we prove new lower bounds for the maximal size of permutation codes by connecting the theory of permutation codes with the theory of linear block codes. More specifically, using the columns of …