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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The N-periodic wave solutions of some coupled bilinear equations
耦合 双线性方程 N周期波解
2023/4/26
In this talk, we present an efficient numerical scheme to calculate the N-periodic wave solutions to the Tzitzeica equation, the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation and the mKdV-...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bilinear approaches in soliton theory II: N-soliton solutions in (2+1)-dimensions
孤子理论 双线性方法 （2+1）维 N-孤子解
2023/5/6
The talk is about applications of bilinear approaches to N-soliton solutions in (2+1)-dimensions. The Hirota N-soliton condition will be analyzed, together with novel examples of (2+1)-dimensional sol...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bilinear approaches in soliton theory I: Hirota direct method and its applications in (1+1)-dimensions
孤子理论 双线性方法 广田直接法 （1+1）维
2023/5/6
We will talk about the Hirota direct method and its applications to soliton solutions in (1+1)-dimensions. Both known and new examples of soliton equations will be discussed, and generalized bilinear ...
Predicate Encryption from Bilinear Maps and One-Sided Probabilistic Rank
Predicate Encryption Bilinear Maps Probabilistic Rank
2019/9/19
In predicate encryption for a function ff, an authority can create ciphertexts and secret keys which are associated with `attributes'. A user with decryption key KyKy corresponding to attribute yy can...
Succinct Arguments for Bilinear Group Arithmetic: Practical Structure-Preserving Cryptography
NIZK short proofs
2019/8/30
In their celebrated work, Groth and Sahai [EUROCRYPT'08, SICOMP' 12] constructed non-interactive zero-knowledge (NIZK) proofs for general bilinear group arithmetic relations, which spawned the entire ...
We consider the problem of garbling arithmetic circuits and present a garbling scheme for inner-product predicates over exponentially large fields. Our construction stems from a generic transformation...
Further Lower Bounds for Structure-Preserving Signatures in Asymmetric Bilinear Groups
public-key cryptography Structure-Preserving Signatures
2019/1/2
Structure-Preserving Signatures (SPSs) are a useful tool for the design of modular cryptographic protocols. Recent series of works have shown that by limiting the message space of those schemes to the...
An FPGA-based programmable processor for bilinear pairings
public-key cryptography implementation applications
2018/11/2
Bilinear pairings on elliptic curves are an active research field in cryptography. First cryptographic protocols based on bilinear pairings were proposed by the year 2000 and they are promising soluti...
Unbounded Inner Product Functional Encryption from Bilinear Maps
functional encryption inner product function hiding
2018/7/20
Inner product functional encryption (IPFE), introduced by Abdalla et al. (PKC2015), is a kind of functional encryption supporting only inner product functionality. All previous IPFE schemes are bounde...
Indistinguishability Obfuscation Without Multilinear Maps: iO from LWE, Bilinear Maps, and Weak Pseudorandomness
Indistinguishability Obfuscation Functional Encryption
2018/6/25
The existence of secure indistinguishability obfuscators (iO) has far-reaching implications, significantly expanding the scope of problems amenable to cryptographic study. All known approaches to cons...
Generic Hardness of Inversion on Ring and Its Relation to Self-Bilinear Map
MCDH unbalanced modulus
2018/5/22
In this paper, we study the generic hardness of the inversion problem on a ring, which is a problem to compute the inverse of a given prime cc by just using additions, subtractions and multiplications...
Unbounded ABE via Bilinear Entropy Expansion, Revisited
public-key cryptography attribute-based encryption
2018/2/1
At the core of all of these constructions is a "bilinear entropy expansion" lemma that allows us to generate any polynomial amount of entropy starting from constant-size public parameters; the entropy...
In this paper, we initiate the study of \emph{garbled protocols} --- a generalization of Yao's garbled circuits construction to distributed protocols. More specifically, in a garbled protocol construc...
New Techniques for Structural Batch Verification in Bilinear Groups with Applications to Groth-Sahai Proofs
Batch verification bilinear maps Groth-Sahai proofs
2017/8/29
Bilinear groups form the algebraic setting for a multitude of important cryptographic protocols including anonymous credentials, e-cash, e-voting, e-coupon, and loyalty systems. It is typical of such ...
Indistinguishability Obfuscation from Bilinear Maps and Block-Wise Local PRGs
Indistinguishability Obfuscation Bilinear Maps Block-wise Local PRGs
2017/3/21
Recent works (Lin, EUROCRYPT'16, ePrint'16; Lin and Vaikunthanathan, FOCS'16; Ananth and Sahai, EUROCRYPT'17) establish a tight connection between constructions of indistinguishability obfuscation fro...