On Weighted-Sum Orthogonal Latin Squares and Secret Sharing

ePrint Report: On Weighted-Sum Orthogonal Latin Squares and Secret Sharing

Koji Nuida, Tomoko Adachi

Latin squares are a classical and well-studied topic of discrete mathematics, and recently Takeuti and Adachi (IACR ePrint, 2023) proposed (2,n)-threshold secret sharing based on mutually orthogonal Latin squares (MOLS). Hence efficient constructions of as large sets of MOLS as possible are also important from practical viewpoints. In this letter, we determine the maximum number of MOLS among a known class of Latin squares defined by …

eprint report large mathematics report secret sharing topic