caa a22 4500 47704087X CHVBK 20180405111317.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF00169771 doi (NATIONALLICENCE)springer-10.1007/BF00169771 Some t -homogeneous sets of permutations [Elektronische Daten] [Jürgen Bierbrauer, Stephen Black, Yves Edel] Perpendicular Arrays are ordered combinatorial structures, which recently have found applications in cryptography. A fundamental construction uses as ingredients combinatorial designs and uniformly t-homogeneous sets of permutations. We study the latter type of objects. These may also be viewed as generalizations of t-homogeneous groups of permutations. Several construction techniques are given. Here we concentrate on the optimal case, where the number of permutations attains the lower bound. We obtain several new optimal such sets of permutations. Each example allows the construction of infinite families of perpendicular arrays. Kluwer Academic Publishers, 1996 Permutation sets nationallicence permutation groups nationallicence perpendicular arrays nationallicence authentication nationallicence Bierbrauer Jürgen Department of Mathematical Sciences, Michigan Technological University, 49931, Houghton, MI, (USA) aut Black Stephen Department of Mathematical Sciences, Michigan Technological University, 49931, Houghton, MI, (USA) aut Edel Yves Department of Mathematical Sciences, Michigan Technological University, 49931, Houghton, MI, (USA) aut Designs, Codes and Cryptography Kluwer Academic Publishers 9/1(1996-08-01), 29-38 0925-1022 9:1<29 1996 9 10623 https://doi.org/10.1007/BF00169771 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00169771 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bierbrauer Jürgen Department of Mathematical Sciences, Michigan Technological University, 49931, Houghton, MI, (USA) aut NATIONALLICENCE 700 1- Black Stephen Department of Mathematical Sciences, Michigan Technological University, 49931, Houghton, MI, (USA) aut NATIONALLICENCE 700 1- Edel Yves Department of Mathematical Sciences, Michigan Technological University, 49931, Houghton, MI, (USA) aut NATIONALLICENCE 773 0- Designs, Codes and Cryptography Kluwer Academic Publishers 9/1(1996-08-01), 29-38 0925-1022 9:1<29 1996 9 10623 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 477040810 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer