Gennian Ge

Some new results on permutation polynomials over finite fields

2015 · arXiv (Cornell University)

Permutation polynomials over finite fields constitute an active research area and have applications in many areas of science and engineering. In this paper, four classes of monomial complete permutation polynomials and one class of trinomial …

On the Maximum Size of Codes Under the Damerau-Levenshtein Metric

2025 · arXiv (Cornell University)

The Damerau-Levenshtein distance between two sequences is the minimum number of operations (deletions, insertions, substitutions, and adjacent transpositions) required to convert one sequence into another. Notwithstanding a long history of this metric, research on error-correcting …