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Cryptography Based on Bilinear Maps
2006The bilinear mapping technique that uses the (Weil and Tate) pairings over elliptic (or hyperelliptic) curves represents a great breakthrough in cryptography. This paper surveys this new trend in cryptography, and emphasizes the design of efficient cryptographic primitives that are provably secure in the standard model (i.e., without the random oracle ...
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Bilinear Graph Networks for Visual Question Answering
IEEE Transactions on Neural Networks and Learning Systems, 2023Dalu Guo, Chang Xu, Dacheng Tao
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Structural Mappings of Bilinear Transformations
2000In this chapter, we present a comprehensive picture of the mapping of structural properties associated with general linear multivariable systems under bilinear and inverse bilinear transformations. We will investigate in depth how the finite and infinite zero structures, as well as the invertibility structures of a general continuous-time (discrete ...
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Constructions Based on Bilinear Maps
2010In the past 10 years cryptographic constructions based on bilinear maps have become extremely popular, most prominently following their use in constructing identity-based encryption schemes. Bilinear maps have also led to several efficient signature schemes, and we explore two such constructions here.
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Constructions of broadcast encryption with personalized messages from bilinear map
Computer Communications, 2023Kamalesh Acharya, Amit Kumar Singh
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Characteristic conic of rational bilinear map
Journal of Computational and Applied Mathematics, 2019Chongyang Deng, Yajuan Li
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