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Characteristic conic of rational bilinear map
Journal of Computational and Applied Mathematics, 2019Abstract Bilinear and rational bilinear maps defined by planar quadrilaterals play important roles in computer graphics and geometric design. We show that the inverse of a rational bilinear map has a close relationship with a conic, which is named as ”characteristic conic” in this paper.
Chongyang Deng +3 more
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On some connections between bilinear input/output maps and 2D systems
Nonlinear Analysis: Theory, Methods & Applications, 1997 The aim of this contribution is to discuss some basic issues connected with bilinear i/o maps. We consider first stability problems, and derive necessary and sufficient conditions guaranteeing that baunded inputs always produce bounded outputs.
Ettore Fornasini, Maria Elena Valcher
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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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Towards Ideal Self-bilinear Map
Proceedings of the 5th ACM on ASIA Public-Key Cryptography Workshop, 2018Bilinear maps (also called pairings) have been used for constructing various kinds of cryptographic primitives including (but not limited to) short signatures, identity-based encryption, attribute-based encryption, and non-interactive zero-knowledge proof systems.
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The theory of models of bilinear mappings
Siberian Mathematical Journal, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Definable invariants of bilinear mappings
Siberian Mathematical Journal, 1990Elementary theories of bilinear mappings are studied. The interest in these questions is explained by the fact that different model-theoretic problems of algebra reduce largely to the corresponding problems for bilinear mappings. Bilinear mappings in rings arise most naturally --- the multiplication operation itself generates them.
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On the classification of bilinear maps with radical of a fixed codimension
Linear and Multilinear Algebra, 2022, Ivan Kaygorodov
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2025 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)
Zelin Peng +6 more
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Zelin Peng +6 more
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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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