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**Traverso, Giulia and Demirel, Denise and Buchmann, Johannes** (2016):

*Homomorphic Signature Schemes - A survey.*

In: SpringerBriefs in Computer Science, Springer, ISBN Softcover 978-3-319-32114-1 - ebook 978-3-319-32115-8,

DOI: 10.1007/978-3-319-32115-8,

[Book]

## Abstract

Homomorphic signature schemes are an important primitive for many applications and since their introduction numerous solutions have been presented. Thus, in this work we provide the first exhaustive, complete, and up-to-dated survey about the state of the art of homomorphic signature schemes. First, the general framework where homomorphic signatures are defined is described and it is shown how the currently available types of homomorphic signatures, these are the linearly homomorphic signature schemes, the homomorphic schemes supporting polynomial functions, the fully homomorphic signature schemes, and the homomorphic aggregate signature schemes, can then be derived from such a framework. In addition, this work also presents a description of each of the schemes presented so far together with the properties it provides. Furthermore, three use cases, electronic voting, smart grids, and electronic health records, where homomorphic signature schemes can be employed are described. For each of these applications the requirements that a homomorphic signature scheme should fulfill are defined and the suitable schemes already available are listed. This also highlights the shortcomings of current solutions. Thus, this work concludes with several ideas for future research in the direction of homomorphic signature schemes.

Item Type: | Book |
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Erschienen: | 2016 |

Creators: | Traverso, Giulia and Demirel, Denise and Buchmann, Johannes |

Title: | Homomorphic Signature Schemes - A survey |

Language: | ["languages_typename_1" not defined] |

Abstract: | Homomorphic signature schemes are an important primitive for many applications and since their introduction numerous solutions have been presented. Thus, in this work we provide the first exhaustive, complete, and up-to-dated survey about the state of the art of homomorphic signature schemes. First, the general framework where homomorphic signatures are defined is described and it is shown how the currently available types of homomorphic signatures, these are the linearly homomorphic signature schemes, the homomorphic schemes supporting polynomial functions, the fully homomorphic signature schemes, and the homomorphic aggregate signature schemes, can then be derived from such a framework. In addition, this work also presents a description of each of the schemes presented so far together with the properties it provides. Furthermore, three use cases, electronic voting, smart grids, and electronic health records, where homomorphic signature schemes can be employed are described. For each of these applications the requirements that a homomorphic signature scheme should fulfill are defined and the suitable schemes already available are listed. This also highlights the shortcomings of current solutions. Thus, this work concludes with several ideas for future research in the direction of homomorphic signature schemes. |

Series Name: | SpringerBriefs in Computer Science |

Publisher: | Springer |

ISBN: | Softcover 978-3-319-32114-1 - ebook 978-3-319-32115-8 |

Uncontrolled Keywords: | Secure Data;Solutions;S6;PRISMACLOUD;public-key cryptography / Linearly homomorphic signature schemes, homomorphic signature schemes for polynomial functions, fully homomorphic signature schemes, homomorphic aggregate signature schemes |

Divisions: | DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1119: CROSSING – Cryptography-Based Security Solutions: Enabling Trust in New and Next Generation Computing Environments 20 Department of Computer Science > Theoretical Computer Science - Cryptography and Computer Algebra LOEWE > LOEWE-Zentren > CASED – Center for Advanced Security Research Darmstadt Profile Areas > Cybersecurity (CYSEC) 20 Department of Computer Science > Theoretical Computer Science - Cryptography and Computer Algebra > Long-term Security LOEWE > LOEWE-Zentren DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres 20 Department of Computer Science Profile Areas LOEWE DFG-Collaborative Research Centres (incl. Transregio) |

Date Deposited: | 15 Nov 2016 23:15 |

DOI: | 10.1007/978-3-319-32115-8 |

Identification Number: | TUD-CS-2015-0142 |

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