caa a22 4500 477040810 CHVBK 20180405111317.0 cr unu---uuuuu 170330e19961001xx s 000 0 eng 10.1023/A:1027333822360 doi (NATIONALLICENCE)springer-10.1023/A:1027333822360 Some t -Homogeneous Sets of Permutations [Elektronische Daten] [Jürgen Bierbrauer, Stephen Black, Yves Edel] Perpendicular Arrays are orderedcombinatorial structures, which recently have found applicationsin cryptography. A fundamental construction uses as ingredientscombinatorial designs and uniformly t-homogeneoussets of permutations. We study the latter type of objects. Thesemay also be viewed as generalizations of t-homogeneousgroups of permutations. Several construction techniques are given.Here we concentrate on the optimal case, where the number ofpermutations attains the lower bound. We obtain several new optimalsuch sets of permutations. Each example allows the constructionof 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 IBM Heidelberg (Germany) Mathematisches Institut der Universität, Im Neuenheimer Feld 288, 69120, Heidelberg (, Germany aut Edel Yves Mathematisches Institut der Universität, Im Neuenheimer Feld 288, 69120, Heidelberg (, Germany aut Designs, Codes and Cryptography Kluwer Academic Publishers 9/1(1996-10-01), 29-38 0925-1022 9:1<29 1996 9 10623 https://doi.org/10.1023/A:1027333822360 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1027333822360 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 IBM Heidelberg (Germany) Mathematisches Institut der Universität, Im Neuenheimer Feld 288, 69120, Heidelberg (, Germany aut NATIONALLICENCE 700 1- Edel Yves Mathematisches Institut der Universität, Im Neuenheimer Feld 288, 69120, Heidelberg (, Germany aut NATIONALLICENCE 773 0- Designs, Codes and Cryptography Kluwer Academic Publishers 9/1(1996-10-01), 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