A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves
Mathematics of Computation
Elliptic curves in cryptography
Elliptic curves in cryptography
Identity-Based Encryption from the Weil Pairing
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
An Elliptic Curve Implementation of the Finite Field Digital Signature Algorithm
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
Short Signatures from the Weil Pairing
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Self-Blindable Credential Certificates from the Weil Pairing
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Supersingular Curves in Cryptography
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
A One Round Protocol for Tripartite Diffie-Hellman
ANTS-IV Proceedings of the 4th International Symposium on Algorithmic Number Theory
Software Implementation of Elliptic Curve Cryptography over Binary Fields
CHES '00 Proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems
The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems
IEEE Transactions on Information Theory
Efficient Algorithms for Pairing-Based Cryptosystems
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
ID-Based Blind Signature and Ring Signature from Pairings
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems
ANTS-V Proceedings of the 5th International Symposium on Algorithmic Number Theory
Hardware Implementation of Finite Fields of Characteristic Three
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Identity-based confirmer signatures from pairings over elliptic curves
Proceedings of the 4th ACM conference on Electronic commerce
Authenticating tripartite key agreement protocol with pairings
Journal of Computer Science and Technology
The generalized Weil pairing and the discrete logarithm problem on elliptic curves
Theoretical Computer Science - Latin American theorotical informatics
The dual receiver cryptosystem and its applications
Proceedings of the 11th ACM conference on Computer and communications security
An abuse-free fair contract signing protocol based on the RSA signature
WWW '05 Proceedings of the 14th international conference on World Wide Web
Hardware and Software Normal Basis Arithmetic for Pairing-Based Cryptography in Characteristic Three
IEEE Transactions on Computers
Signcryption with Non-interactive Non-repudiation
Designs, Codes and Cryptography
Elliptic Curves Suitable for Pairing Based Cryptography
Designs, Codes and Cryptography
Untraceable RFID tags via insubvertible encryption
Proceedings of the 12th ACM conference on Computer and communications security
Aggregated path authentication for efficient BGP security
Proceedings of the 12th ACM conference on Computer and communications security
Proxy re-signatures: new definitions, algorithms, and applications
Proceedings of the 12th ACM conference on Computer and communications security
Generating More MNT Elliptic Curves
Designs, Codes and Cryptography
Improved proxy re-encryption schemes with applications to secure distributed storage
ACM Transactions on Information and System Security (TISSEC)
Software implementation of Tate pairing over GF(2m)
Proceedings of the conference on Design, automation and test in Europe: Designers' forum
On the relationship between squared pairings and plain pairings
Information Processing Letters
Refinements of Miller's algorithm for computing the Weil/Tate pairing
Journal of Algorithms
Implementation of cryptosystems based on Tate pairing
Journal of Computer Science and Technology
A Fault Attack on Pairing-Based Cryptography
IEEE Transactions on Computers
Provably-secure time-bound hierarchical key assignment schemes
Proceedings of the 13th ACM conference on Computer and communications security
Formulas for cube roots in F3m
Discrete Applied Mathematics
A novel proxy key generation protocol and its application
Computer Standards & Interfaces
Hardware acceleration of the Tate pairing on a genus 2 hyperelliptic curve
Journal of Systems Architecture: the EUROMICRO Journal
Efficient pairing computation on supersingular Abelian varieties
Designs, Codes and Cryptography
Hardware architectures for the Tate pairing over GF(2m)
Computers and Electrical Engineering
A mobile agent protected scheme using pairing-based cryptosystems
International Journal of Mobile Communications
Eta pairing computation on general divisors over hyperelliptic curves y2=xp-x+d
Journal of Symbolic Computation
Special polynomial families for generating more suitable pairing-friendly elliptic curves
EHAC'06 Proceedings of the 5th WSEAS International Conference on Electronics, Hardware, Wireless and Optical Communications
Computing cryptographic pairing in sensors
ACM SIGBED Review - Special issue on the RTSS forum on deeply embedded real-time computing
A pairing-based authentication scheme for protecting multiple mobile agent hosts
AIC'06 Proceedings of the 6th WSEAS International Conference on Applied Informatics and Communications
A pairing SW implementation for Smart-Cards
Journal of Systems and Software
An efficient session key generation for NTDR networks based on bilinear paring
Computer Communications
A Novel ID-Based Threshold Ring Signature Scheme Competent for Anonymity and Anti-forgery
Computational Intelligence and Security
A Coprocessor for the Final Exponentiation of the ηTPairing in Characteristic Three
WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
Arithmetic Operators for Pairing-Based Cryptography
CHES '07 Proceedings of the 9th international workshop on Cryptographic Hardware and Embedded Systems
A New Direct Anonymous Attestation Scheme from Bilinear Maps
Trust '08 Proceedings of the 1st international conference on Trusted Computing and Trust in Information Technologies: Trusted Computing - Challenges and Applications
Pairing Computation on Twisted Edwards Form Elliptic Curves
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
FPGA implementations of elliptic curve cryptography and Tate pairing over a binary field
Journal of Systems Architecture: the EUROMICRO Journal
Parameterized access control: from design to prototype
Proceedings of the 4th international conference on Security and privacy in communication netowrks
An improved identity-based key agreement protocol and its security proof
Information Sciences: an International Journal
New left-to-right minimal weight signed-digit radix-r representation
Computers and Electrical Engineering
A secure identity-based threshold signature scheme from Tate pairings
ICAIT '08 Proceedings of the 2008 International Conference on Advanced Infocomm Technology
On the application of pairing based cryptography to wireless sensor networks
Proceedings of the second ACM conference on Wireless network security
Reduction Optimal Trinomials for Efficient Software Implementation of the ηT Pairing
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Efficient Implementation of the Pairing on Mobilephones Using BREW
IEICE - Transactions on Information and Systems
Ring signature scheme for ECC-based anonymous signcryption
Computer Standards & Interfaces
Secure and Efficient Group Key Agreements for Cluster Based Networks
Transactions on Computational Science IV
CHES '09 Proceedings of the 11th International Workshop on Cryptographic Hardware and Embedded Systems
Practical electronic lotteries with offline TTP
Computer Communications
Efficient and generalized pairing computation on Abelian varieties
IEEE Transactions on Information Theory
FPGA and ASIC implementations of the ηT pairing in characteristic three
Computers and Electrical Engineering
Multi-core Implementation of the Tate Pairing over Supersingular Elliptic Curves
CANS '09 Proceedings of the 8th International Conference on Cryptology and Network Security
On the relationship between squared pairings and plain pairings
Information Processing Letters
Refinements of Miller's algorithm for computing the Weil/Tate pairing
Journal of Algorithms
Delaying and merging operations in scalar multiplication: applications to curve-based cryptosystems
SAC'06 Proceedings of the 13th international conference on Selected areas in cryptography
Pairing calculation on supersingular genus 2 curves
SAC'06 Proceedings of the 13th international conference on Selected areas in cryptography
Secure signed radix-r recoding methods for constrained-embedded devices
ISPEC'07 Proceedings of the 3rd international conference on Information security practice and experience
Efficient ID-based blind signature and proxy signature from bilinear pairings
ACISP'03 Proceedings of the 8th Australasian conference on Information security and privacy
Efficient computations of the Tate pairing for the large MOV degrees
ICISC'02 Proceedings of the 5th international conference on Information security and cryptology
Constructing elliptic curves with prescribed embedding degrees
SCN'02 Proceedings of the 3rd international conference on Security in communication networks
Hardware performance characterization of block cipher structures
CT-RSA'03 Proceedings of the 2003 RSA conference on The cryptographers' track
Encapsulated scalar multiplications and line functions in the computation of Tate pairing
TAMC'07 Proceedings of the 4th international conference on Theory and applications of models of computation
New left-to-right radix-r signed-digit recoding algorithm for pairing-based cryptosystems
TAMC'07 Proceedings of the 4th international conference on Theory and applications of models of computation
An abuse-free fair contract-signing protocol based on the RSA signature
IEEE Transactions on Information Forensics and Security
Reduction optimal trinomials for efficient software implementation of the ηT pairing
IWSEC'07 Proceedings of the Security 2nd international conference on Advances in information and computer security
Construction of a hybrid HIBE protocol secure against adaptive attacks: without random oracle
ProvSec'07 Proceedings of the 1st international conference on Provable security
Optimised versions of the ate and twisted ate pairings
Cryptography and Coding'07 Proceedings of the 11th IMA international conference on Cryptography and coding
Universal ηT pairing algorithm over arbitrary extension degree
WISA'07 Proceedings of the 8th international conference on Information security applications
Efficient implementation of the pairing on mobilephones using BREW
WISA'07 Proceedings of the 8th international conference on Information security applications
User-friendly grid security architecture and protocols
Proceedings of the 13th international conference on Security protocols
A flexible processor for the characteristic 3 ηT pairing
International Journal of High Performance Systems Architecture
Chosen ciphertext secure authenticated group communication using identity-based signcryption
Computers & Mathematics with Applications
Private key agreement and secure communication for heterogeneous sensor networks
Journal of Parallel and Distributed Computing
IEEE Transactions on Information Theory
Efficient bit-parallel multipliers over finite fields GF(2m)
Computers and Electrical Engineering
A Multi-service Group Key Management Scheme for Stateless Receivers in Wireless Mesh Networks
Mobile Networks and Applications
An identity-based authentication protocol for clustered ZigBee network
ICIC'10 Proceedings of the Advanced intelligent computing theories and applications, and 6th international conference on Intelligent computing
LATINCRYPT'10 Proceedings of the First international conference on Progress in cryptology: cryptology and information security in Latin America
A mutual-healing key distribution scheme in wireless sensor networks
Journal of Network and Computer Applications
An efficient blind ring signature scheme without pairings
WAIM'10 Proceedings of the 2010 international conference on Web-age information management
An analysis of affine coordinates for pairing computation
Pairing'10 Proceedings of the 4th international conference on Pairing-based cryptography
An efficient dynamic authenticated key exchange protocol with selectable identities
Computers & Mathematics with Applications
Strongly secure identity-based authenticated key agreement protocols
Computers and Electrical Engineering
A practical (non-interactive) publicly verifiable secret sharing scheme
ISPEC'11 Proceedings of the 7th international conference on Information security practice and experience
Provably secure three-party password-based authenticated key exchange protocol
Information Sciences: an International Journal
An improved two-party identity-based authenticated key agreement protocol using pairings
Journal of Computer and System Sciences
HIBE with short public parameters without random oracle
ASIACRYPT'06 Proceedings of the 12th international conference on Theory and Application of Cryptology and Information Security
Deniable authenticated key establishment for internet protocols
Proceedings of the 11th international conference on Security Protocols
A new signature scheme without random oracles from bilinear pairings
VIETCRYPT'06 Proceedings of the First international conference on Cryptology in Vietnam
Multi-receiver identity-based key encapsulation with shortened ciphertext
INDOCRYPT'06 Proceedings of the 7th international conference on Cryptology in India
Security of two-party identity-based key agreement
Mycrypt'05 Proceedings of the 1st international conference on Progress in Cryptology in Malaysia
Efficient tate pairing computation for elliptic curves over binary fields
ACISP'05 Proceedings of the 10th Australasian conference on Information Security and Privacy
ID-based authenticated key agreement for low-power mobile devices
ACISP'05 Proceedings of the 10th Australasian conference on Information Security and Privacy
Faster pairings using an elliptic curve with an efficient endomorphism
INDOCRYPT'05 Proceedings of the 6th international conference on Cryptology in India
Efficient identity-based signatures and blind signatures
CANS'05 Proceedings of the 4th international conference on Cryptology and Network Security
A remark on implementing the weil pairing
CISC'05 Proceedings of the First SKLOIS conference on Information Security and Cryptology
Identity-Based threshold proxy signature scheme with known signers
TAMC'06 Proceedings of the Third international conference on Theory and Applications of Models of Computation
Fast bilinear maps from the tate-lichtenbaum pairing on hyperelliptic curves
ANTS'06 Proceedings of the 7th international conference on Algorithmic Number Theory
CT-RSA'05 Proceedings of the 2005 international conference on Topics in Cryptology
(SE-33)Intelligent ID-Based threshold system by an encryption and decryption from bilinear pairing
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part II
An efficient and divisible payment scheme for m-commerce
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part III
Public key encryption with conjunctive field keyword search
WISA'04 Proceedings of the 5th international conference on Information Security Applications
A ring signature scheme using bilinear pairings
WISA'04 Proceedings of the 5th international conference on Information Security Applications
Verifiable pairing and its applications
WISA'04 Proceedings of the 5th international conference on Information Security Applications
Efficient hardware for the tate pairing calculation in characteristic three
CHES'05 Proceedings of the 7th international conference on Cryptographic hardware and embedded systems
HEAD: hybrid encryption with delegated decryption capability
INDOCRYPT'04 Proceedings of the 5th international conference on Cryptology in India
New ID-Based threshold signature scheme from bilinear pairings
INDOCRYPT'04 Proceedings of the 5th international conference on Cryptology in India
Efficient computation of tate pairing in projective coordinate over general characteristic fields
ICISC'04 Proceedings of the 7th international conference on Information Security and Cryptology
Identity based threshold ring signature
ICISC'04 Proceedings of the 7th international conference on Information Security and Cryptology
A New Verifiable Multi-secret Sharing Scheme Based on Bilinear Maps
Wireless Personal Communications: An International Journal
A method for efficient parallel computation of Tate pairing
International Journal of Grid and Utility Computing
Faster squaring in the cyclotomic subgroup of sixth degree extensions
PKC'10 Proceedings of the 13th international conference on Practice and Theory in Public Key Cryptography
Generalization of the Selective-ID security model for HIBE protocols
PKC'06 Proceedings of the 9th international conference on Theory and Practice of Public-Key Cryptography
New constructions of constant size ciphertext HIBE without random oracle
ICISC'06 Proceedings of the 9th international conference on Information Security and Cryptology
Authenticated group key agreement for multicast
CANS'06 Proceedings of the 5th international conference on Cryptology and Network Security
Side channel attacks and countermeasures on pairing based cryptosystems over binary fields
CANS'06 Proceedings of the 5th international conference on Cryptology and Network Security
Distributed signcryption from pairings
ICISS'11 Proceedings of the 7th international conference on Information Systems Security
Pairings on elliptic curves over finite commutative rings
IMA'05 Proceedings of the 10th international conference on Cryptography and Coding
Provably secure tripartite password protected key exchange protocol based on elliptic curves
SAC'05 Proceedings of the 12th international conference on Selected Areas in Cryptography
ICISC'05 Proceedings of the 8th international conference on Information Security and Cryptology
Yet another forward secure signature from bilinear pairings
ICISC'05 Proceedings of the 8th international conference on Information Security and Cryptology
Privacy-preserving identity-based broadcast encryption
Information Fusion
Key length estimation of pairing-based cryptosystems using ηT pairing
ISPEC'12 Proceedings of the 8th international conference on Information Security Practice and Experience
Improved multi-server authentication protocol
Security and Communication Networks
Ordinary abelian varieties having small embedding degree
Finite Fields and Their Applications
On the distribution of irreducible trinomials over F3
Finite Fields and Their Applications
Algebraic curves and cryptography
Finite Fields and Their Applications
Securing wireless mesh networks in a unified security framework with corruption-resilience
Computer Networks: The International Journal of Computer and Telecommunications Networking
Security and Communication Networks
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
Implementing cryptographic pairings
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
Instruction set extensions for pairing-based cryptography
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
The tate pairing via elliptic nets
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
Eta pairing computation on general divisors over hyperelliptic curves y2 = x7 - x ± 1
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
Efficient and dynamic key management for multiple identities in identity-based systems
Information Sciences: an International Journal
Implementing pairings at the 192-bit security level
Pairing'12 Proceedings of the 5th international conference on Pairing-Based Cryptography
Speeding up ate pairing computation in affine coordinates
ICISC'12 Proceedings of the 15th international conference on Information Security and Cryptology
Secure dual-core cryptoprocessor for pairings over Barreto-Naehrig curves on FPGA platform
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
On the Security of an Efficient and Non-interactive Hierarchical Key Agreement Protocol
Wireless Personal Communications: An International Journal
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The Tate pairing has found several new applications in cryptography. This paper provides methods to quickly compute the Tate pairing, and hence enables efficient implementation of these cryptosystems. We also give division-free formulae for point tripling on a family of elliptic curves in characteristic three. Examples of the running time for these methods are given.