# Transitive Signatures Based on Bilinear Maps

### Changshe Ma, Kefei Chen, Shengli Liu, Dong Zheng

#### 2005

#### Abstract

The notion of transitive signature, firstly introduced by Micali and Rivest, is a way to digitally sign the vertices and edges of a dynamically growing, transitively closed graph. All the previous proposed transitive signature schemes were constructed from discrete logarithm, factoring, or RSA assumption. In this paper, we introduce two alternative realizations of transitive signature based on bilinear maps. The proposed transitive signature schemes possess the following properties: (i) they are provably secure against adaptive chosen-message attacks in the random oracle model; (ii) there are no need for node certificates in our transitive signature schemes, so the signature algebra is compact; (iii) if using Weil pairing, our signature schemes are more efficient than all previous proposed schemes.

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#### Paper Citation

#### in Harvard Style

Ma C., Chen K., Liu S. and Zheng D. (2005). **Transitive Signatures Based on Bilinear Maps** . In *Proceedings of the 3rd International Workshop on Security in Information Systems - Volume 1: WOSIS, (ICEIS 2005)* ISBN 972-8865-25-2, pages 48-56. DOI: 10.5220/0002542700480056

#### in Bibtex Style

@conference{wosis05,

author={Changshe Ma and Kefei Chen and Shengli Liu and Dong Zheng},

title={Transitive Signatures Based on Bilinear Maps},

booktitle={Proceedings of the 3rd International Workshop on Security in Information Systems - Volume 1: WOSIS, (ICEIS 2005)},

year={2005},

pages={48-56},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002542700480056},

isbn={972-8865-25-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 3rd International Workshop on Security in Information Systems - Volume 1: WOSIS, (ICEIS 2005)

TI - Transitive Signatures Based on Bilinear Maps

SN - 972-8865-25-2

AU - Ma C.

AU - Chen K.

AU - Liu S.

AU - Zheng D.

PY - 2005

SP - 48

EP - 56

DO - 10.5220/0002542700480056