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Cryptographic Key Sharing Methods for Multi-Groups and Security Analysis

Kenji KOYAMA

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Summary :

Cryptographic key sharing methods for multi-groups are proposed with threshold access schemes, and the methods are analyzed for safety and reliability, the measures of security. The threshold access scheme is extended from the members in a single group to members in multi-groups of equal or hierarchical status. In the horizontal scheme, agreement between a certain number of groups makes the secret key accessible. In the vertical scheme, agreement of a high level group or agreement between two groups at high and low level makes the secret key accessible. To realize these access schemes, mutually relative polynomials are proposed and the distributed keys are generated and synthesized by interpolation. The equipment and configuration to manage these methods are also explained. The system miss-access and inaccessibility rates of each scheme are formulated, and the characteristics of these schemes are evaluated by numerical examination. It is confirmed that sharing methods for multi-groups have greater safety than for single group.

Publication
IEICE TRANSACTIONS on transactions Vol.E66-E No.1 pp.13-20
Publication Date
1983/01/25
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Data Transmission

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