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We present a new construction for sequences in the finite abelian group Cr n without zero-sum subsequences of length n, for odd n. This construction improves the maximal known car...
Let k, v, t be integers such that k v t 2. A perfect hash family PHF(N; k, v, t) can be defined as an N ? k array with entries from a set of v symbols such that every N ?t suba...
A recent result of Schmidt has brought Williamson matrices back into the spotlight. In this paper a new algorithm is introduced to search for hard to find Williamson matrices. We ...
Wolf H. Holzmann, Hadi Kharaghani, Behruz Tayfeh-R...
For a graph , subgroups M < G Aut(), and an edge partition E of , the pair (, E) is a (G, M)-homogeneous factorisation if M is vertex-transitive on and fixes setwise each part...
Maria Cristeta Cuaresma, Michael Giudici, Cheryl E...
LaMacchia, Lauter and Mityagin recently presented a strong security definition for authenticated key agreement strengthening the well-known Canetti-Krawczyk definition. They also ...
A set of Boolean functions is called a bent set if the sum of any two distinct members is a bent function. We show that any bent set yields a homogeneous system of linked symmetric...
A partial difference set having parameters (n2, r(n - 1), n + r2 - 3r, r2 - r) is called a Latin square type partial difference set, while a partial difference set having paramete...
A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = t i=0 Lixqi over Fqn . The expected time complexity of the presented ...