A Latin square of order n is an n by n array in which every row and column is a permutation of a set N of n elements. Let L = [li,j ] and M = [mi,j ] be two Latin squares of even order n, based on the same N -set. Define the superposition of L onto M to be the n by n array A = (li,j ,mi,j). When n is even, L and M are said to be nearly orthogonal if the superposition of L onto M has every order...

Quantum sealed-bid auction (QSA) is a special form of transaction with significant applications in the economic and financial fields. Using unique set locally indistinguishable orthogonal product (LIOP) states, we propose new QSA protocol this paper. In protocol, bid message encoded as quantum sequence LIOP different particles states are transmitted separately. Even though an attacker obtains p...

The present paper proposes methods for constructing quasi-optimal or optimal generalized mutually orthogonal zerocorrelation zone (GMO-ZCZ) sequence sets. Zero-correlation zone (ZCZ) sequence sets have been studied as spreading sequences for approximately synchronized code-division multiple-access (ASCDMA) systems. A mutually orthogonal ZCZ (MO-ZCZ) sequence set is composed of several small ZCZ...

An orthogonal double cover (ODC) of the complete graph is a collection of graphs such that every two of them share exactly one edge and every edge of the complete graph belongs to exactly two of the graphs. In this paper, we consider the case where the graph to be covered twice is the complete bipartite graph Kmn,mn (for any values ofm,n) and all graphs in the collection are isomorphic to certa...