NEW LOWER BOUNDS ON THE RATES OF LOCALLY THIN FAMILIES AND WEAK DISJUNCTIVE CODES

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Abstract

Locally thin families of sets and weak disjunctive codes are studied. The main result is obtaining new lower bounds on the rates of the studied constructions using probabilistic methods. Additionally, new lower bounds on the rates of multimedia codes that determine the coalition under averaging and noise attacks are presented, which follow from the obtained estimates for the rates of weak disjunctive codes.

About the authors

D. Yu Goshkoder

Skolkovo Institute of Science and Technology (Skoltech)

Email: danilgoshkoder@mail.ru
Moscow

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