A flaw in the use of minimal defining sets for secret sharing schemes

Grannell, Mike J.; Griggs, Terry S. and Street, Anne Penfold (2006). A flaw in the use of minimal defining sets for secret sharing schemes. Designs, Codes and Cryptography, 40(2) pp. 225–236.

DOI: https://doi.org/10.1007/s10623-006-0009-3

URL: http://mcs.open.ac.uk/mjg47/Papers/mdefb.pdf

Abstract

It is shown that in some cases it is possible to reconstruct a block design D uniquely from incomplete knowledge of a minimal defining set for D. This
surprising result has implications for the use of minimal defining sets in secret sharing schemes.

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