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Common randomness in information theory and cryptography. I. Secret sharing
Abstract
As the first part of a study of problems involving common randomness at distance locations, information-theoretic models of secret sharing (generating a common random key at two terminals, without letting an eavesdropper obtain information about this key) are considered. The concept of key-capacity is defined. Single-letter formulas of key-capacity are obtained for several models, and bounds to key-capacity are derived for other models.>
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Citations
Cited by
The Private Classical Capacity and Quantum Capacity of a Quantum Channel
Devetak, I. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.839515 · Cited by 823
A survey of physical layer security techniques for 5g wireless networks and challenges ahead
Wu, Y., Khisti, A., Xiao, C., Caire, G., Wong, K.-K., & Gao, X. (2018) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2018.2825560 · Cited by 816
Nonlocal correlations as an information-theoretic resource
Barrett, J., Linden, N., Massar, S., Pironio, S., Popescu, S., & Roberts, D. (2005) · Physical Review A · doi:10.1103/physreva.71.022101 · Cited by 616
Monogamy of quantum entanglement and other correlations
Koashi, M., & Winter, A. (2004) · Physical Review A · doi:10.1103/physreva.69.022309 · Cited by 609
Mukherjee, A. (2015) · Proceedings of the IEEE · doi:10.1109/jproc.2015.2466548 · Cited by 347
Metadata
- Authors
- Ahlswede, R., & Csiszar, I.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1993-07
- Volume
- 39
- Issue
- 4
- Pages
- 1121-1132
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2108777864
- Cited by
- 1,325
- References
- 0
- FWCI
- 4.94
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Common randomness in information theory and cryptography. I. Secret sharing. https://app.cochat.ai/papers/10.1109/18.243431
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- Ahlswede, R., & Csiszar, I. (1993). Common randomness in information theory and cryptography. I. Secret sharing. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.243431
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