caa a22 4500 388092513 CHVBK 20180307125255.0 cr unu---uuuuu 161130e199904 xx s 000 0 eng 10.1017/S0004972700032822 doi S0004972700032822 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700032822 Some results on defining sets of t-designs [Elektronische Daten] We investigate how varying the parameters of t-(ν, κ, λ) designs affects the sizes of smallest defining sets. In particular, we consider the effect of varying each of the parameters t, ν and λ. We establish a number of new bounds for the sizes of smallest defining sets and find the size of smallest defining sets for an infinite family of designs. We also show how one of our results can be applied to the problem of finding critical sets of Latin squares. Copyright © Australian Mathematical Society 1999 Gray Brenton D. Department of Mathematics, The University of Queensland, Queensland 4072, Australia e-mail: bdg@maths.uq.edu.au Ramsay Colin Centre for Discrete Mathematics and Computing, The University of Queensland, Queensland 4072, Australia e-mail: cram@csee.uq.edu.au Bulletin of the Australian Mathematical Society Cambridge University Press 59/2(1999-04), 203-215 0004-9727 59:2<203 1999 59 BAZ https://doi.org/10.1017/S0004972700032822 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700032822 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gray Brenton D. Department of Mathematics, The University of Queensland, Queensland 4072, Australia e-mail: bdg@maths.uq.edu.au NATIONALLICENCE 700 1- Ramsay Colin Centre for Discrete Mathematics and Computing, The University of Queensland, Queensland 4072, Australia e-mail: cram@csee.uq.edu.au NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 59/2(1999-04), 203-215 0004-9727 59:2<203 1999 59 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge