Paper 2023/962 Original: eprint.iacr.org/2023/962 ↗

Access structures induced by polymatroids with extreme rank function

Mieczysław Kula
Abstract

In this paper we consider multipartite access structures obtained from polymatroids with extreme rank function. They are proved to be ideal and partially hierarchical. It turns out that the family of structures induced by polymatroids with minimal rank function is a natural generalization of the class of disjunctive access structure considered by Simmons and the class of conjunctive access structures introduced by Tassa. The results are based on the connections between multipartite access structures and polymatroids discovered by Farràs, Martí-Farré and Padró.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2023-06-19: last updated
2023-06-19: published
Short URL
https://ia.cr/2023/962
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2023/962,
      author = {Mieczysław Kula},
      title = {Access structures induced by  polymatroids with extreme rank function},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/962},
      year = {2023},
      url = {https://eprint.iacr.org/2023/962}
}
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