Jon-Lark Kim

Expanding self-orthogonal codes over a ring $\Z_4$ to self-dual codes and unimodular lattices

2024 · arXiv (Cornell University)

Self-dual codes have been studied actively because they are connected with mathematical structures including block designs and lattices and have practical applications in quantum error-correcting codes and secret sharing schemes. Nevertheless, there has been less …

Galois equiangular tight frames from Galois self-dual codes

2025 · arXiv (Cornell University)

Greaves et al. (2022) extended frames over real or complex numbers to frames over finite fields. In this paper, we study the theory of frames over finite fields by incorporating the Galois inner products introduced …