ACTA issues

## On minimum distances of latin squares and the quadrangle criterion

Aleš Drápal

Acta Sci. Math. (Szeged) 70:1-2(2004), 3-11
5794/2009

 Abstract. We give a new proof of a theorem of József Dénes: If \$L_1\$ and \$L_2\$ are distinct latin squares of order \$n \ge2\$, \$n \notin\{4,6\} \$, that satisfy the quadrangle criterion, then \$L_1\$ and \$L_2\$ differ in at least \$2n\$ entries. AMS Subject Classification (1991): 20D60, 05B15 Keyword(s): multiplication table, quadrangle criterion, Hamming distance Received December 12, 2002, and in revised form March 19, 2003. (Registered under 5794/2009.)