Secure Determinant Codes for Distributed Storage Systems

Adel Elmahdy, Michelle Kleckler, Soheil Mohajer

Research output: Contribution to journalArticlepeer-review


The information-theoretic secure exact-repair regenerating codes for distributed storage systems (DSSs) with parameters (n,k=d,d,\ell) are studied in this paper. We consider distributed storage systems with n nodes, in which the original data can be recovered from any subset of k=d nodes, and the content of any node can be retrieved from those of any d helper nodes. Moreover, we consider two secrecy constraints, namely, Type-I, where the message remains secure against an eavesdropper with access to the content of any subset of up to \ell nodes, and Type-II, in which the message remains secure against an eavesdropper who can observe the incoming repair data from all possible nodes to a fixed but unknown subset of up to \ell compromised nodes. Two classes of secure determinant codes are proposed for Type-I and Type-II secrecy constraints. Each proposed code can be designed for a range of per-node storage capacity and repair bandwidth for any system parameters. They lead to two achievable secrecy trade-offs, for Type-I and Type-II security.

Original languageEnglish (US)
Pages (from-to)1966-1987
Number of pages22
JournalIEEE Transactions on Information Theory
Issue number3
StatePublished - Mar 1 2023

Bibliographical note

Funding Information:
This work was supported in part by the National Science Foundation under Grant CCF-1617884 and Grant CCF- 1749981.

Publisher Copyright:
© 1963-2012 IEEE.


  • Distributed storage systems
  • exact-repair regenerating codes
  • information-theoretic security


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