Abstract
This paper presents efficient structure-preserving signature schemes based on assumptions as simple as Decisional-Linear. We first give two general frameworks for constructing fully secure signature schemes from weaker building blocks such as variations of one-time signatures and random-message secure signatures. They can be seen as refinements of the Even-Goldreich-Micali framework, and preserve many desirable properties of the underlying schemes such as constant signature size and structure preservation. We then instantiate them based on simple (i.e., not q-type) assumptions over symmetric and asymmetric bilinear groups. The resulting schemes are structure-preserving and yield constant-size signatures consisting of 11 to 17 group elements, which compares favorably to existing schemes relying on q-type assumptions for their security.
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Abe, M., Chase, M., David, B., Kohlweiss, M., Nishimaki, R., Ohkubo, M. (2012). Constant-Size Structure-Preserving Signatures: Generic Constructions and Simple Assumptions. In: Wang, X., Sako, K. (eds) Advances in Cryptology – ASIACRYPT 2012. ASIACRYPT 2012. Lecture Notes in Computer Science, vol 7658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34961-4_3
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DOI: https://doi.org/10.1007/978-3-642-34961-4_3
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