Discrete logarithms in GF(P) using the number field sieve
SIAM Journal on Discrete Mathematics
A subexponential algorithm for discrete logarithms over all finite fields
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
Discrete Logarithms: The Past and the Future
Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography
Handbook of Applied Cryptography
Handbook of Applied Cryptography
ACISP '97 Proceedings of the Second Australasian Conference on Information Security and Privacy
Optimal Extension Fields for Fast Arithmetic in Public-Key Algorithms
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
Generating RSA Moduli with a Predetermined Portion
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Efficient Elliptic Curve Exponentiation Using Mixed Coordinates
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
ASIACRYPT '99 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Certificates of Recoverability with Scale Recovery Agent Security
PKC '00 Proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
Discrete Logarithms: The Effectiveness of the Index Calculus Method
ANTS-II Proceedings of the Second International Symposium on Algorithmic Number Theory
On the Generalised Hidden Number Problem and Bit Security of XTR
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
More Efficient Password-Authenticated Key Exchange
CT-RSA 2001 Proceedings of the 2001 Conference on Topics in Cryptology: The Cryptographer's Track at RSA
Optimal Extension Fields for XTR
SAC '02 Revised Papers from the 9th Annual International Workshop on Selected Areas in Cryptography
Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm
COCOON '02 Proceedings of the 8th Annual International Conference on Computing and Combinatorics
New Public Key Cryptosystem Using Finite Non Abelian Groups
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Hidden Number Problem with the Trace and Bit Security of XTR and LUC
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Supersingular Abelian Varieties in Cryptology
CRYPTO '02 Proceedings of the 22nd 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
Fast Generation of Cubic Irreducible Polynomials for XTR
INDOCRYPT '01 Proceedings of the Second International Conference on Cryptology in India: Progress in Cryptology
Comments on a Signature Scheme Based on the Third Order LFSR Proposed at ACISP2001
INDOCRYPT '01 Proceedings of the Second International Conference on Cryptology in India: Progress in Cryptology
ASIACRYPT '00 Proceedings of the 6th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Unbelievable Security. Matching AES Security Using Public Key Systems
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
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Generating Large Instances of the Gong-Harn Cryptosystem
Proceedings of the 8th IMA International Conference on Cryptography and Coding
Fast Irreducibility and Subgroup Membership Testing in XTR
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems
ANTS-V Proceedings of the 5th International Symposium on Algorithmic Number Theory
Efficient Subgroup Exponentiation in Quadratic and Sixth Degree Extensions
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
A Practical Approach Defeating Blackmailing
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
Identification, Signature and Signcryption Using High Order Residues Modulo an RSA Composite
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
XTR +: A Provable Security Public Key Cryptosystem
Computational Intelligence and Security
ACNS '07 Proceedings of the 5th international conference on Applied Cryptography and Network Security
Pairings on Hyperelliptic Curves with a Real Model
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Generating a Large Prime Factor of p4 ± p2 + 1 in Polynomial Time
OTM '08 Proceedings of the OTM 2008 Confederated International Conferences, CoopIS, DOA, GADA, IS, and ODBASE 2008. Part II on On the Move to Meaningful Internet Systems
On Generating Elements of Orders Dividing p2k±pk + 1
IWSEC '08 Proceedings of the 3rd International Workshop on Security: Advances in Information and Computer Security
On the Computational Efficiency of XTR+
Information Security and Cryptology
Attacking ECDSA-Enabled RFID Devices
ACNS '09 Proceedings of the 7th International Conference on Applied Cryptography and Network Security
A Forward-Secrecy WTLS Handshake Protocol Based on XTR
ISA '09 Proceedings of the 3rd International Conference and Workshops on Advances in Information Security and Assurance
On Cryptographic Schemes Based on Discrete Logarithms and Factoring
CANS '09 Proceedings of the 8th International Conference on Cryptology and Network Security
On the Complexity of Computing Discrete Logarithms over Algebraic Tori
CANS '09 Proceedings of the 8th International Conference on Cryptology and Network Security
Double-Exponentiation in Factor-4 Groups and Its Applications
Cryptography and Coding '09 Proceedings of the 12th IMA International Conference on Cryptography and Coding
Preimage attacks against variants of very smooth hash
IWSEC'10 Proceedings of the 5th international conference on Advances in information and computer security
A generalization of Verheul's theorem for some ordinary curves
Inscrypt'10 Proceedings of the 6th international conference on Information security and cryptology
On XTR and side-channel analysis
SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
Fast irreducibility testing for XTR using a gaussian normal basis of low complexity
SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
Discrete logarithm variants of VSH
VIETCRYPT'06 Proceedings of the First international conference on Cryptology in Vietnam
Efficient scheme of verifying integrity of application binaries in embedded operating systems
The Journal of Supercomputing
Improved zero value attack on XTR
ACISP'05 Proceedings of the 10th Australasian conference on Information Security and Privacy
Collision attack on XTR and a countermeasure with a fixed pattern
EUC'05 Proceedings of the 2005 international conference on Embedded and Ubiquitous Computing
High security pairing-based cryptography revisited
ANTS'06 Proceedings of the 7th international conference on Algorithmic Number Theory
Further security analysis of XTR
ISPEC'06 Proceedings of the Second international conference on Information Security Practice and Experience
Generating elements of orders dividing p6 ± p5 + p4 ± p3 + p2 + p ± 1
Annales UMCS, Informatica - Cryptography and data protection
New key generation algorithms for the XTR cryptosytem
OTM'06 Proceedings of the 2006 international conference on On the Move to Meaningful Internet Systems: AWeSOMe, CAMS, COMINF, IS, KSinBIT, MIOS-CIAO, MONET - Volume Part I
On the discrete logarithm problem on algebraic tori
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
Practical cryptography in high dimensional tori
EUROCRYPT'05 Proceedings of the 24th annual international conference on Theory and Applications of Cryptographic Techniques
New LFSR-based cryptosystems and the trace discrete log problem (Trace-DLP)
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
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
A new algorithm to compute remote terms in special types of characteristic sequences
SETA'06 Proceedings of the 4th international conference on Sequences and Their Applications
VSH, an efficient and provable collision-resistant hash function
EUROCRYPT'06 Proceedings of the 24th annual international conference on The Theory and Applications of Cryptographic Techniques
The function field sieve in the medium prime case
EUROCRYPT'06 Proceedings of the 24th annual international conference on The Theory and Applications of Cryptographic Techniques
Pairing-Based cryptography at high security levels
IMA'05 Proceedings of the 10th international conference on Cryptography and Coding
Pairing-Friendly elliptic curves of prime order
SAC'05 Proceedings of the 12th international conference on Selected Areas in Cryptography
An efficient probabilistic public-key cryptosystem over quadratic fields quotients
Finite Fields and Their Applications
Security of polynomial transformations of the Diffie-Hellman key
Finite Fields and Their Applications
Algorithm for Generating Primes p and q Such that q Divides p4 ± p3 + p2 ± p + 1
Fundamenta Informaticae - Cryptology in Progress: 10th Central European Conference on Cryptology, Będlewo Poland, 2010
Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions
Fundamenta Informaticae - Cryptology in Progress: 10th Central European Conference on Cryptology, Będlewo Poland, 2010
Factor-4 and 6 (de)compression for values of pairings using trace maps
Pairing'12 Proceedings of the 5th international conference on Pairing-Based Cryptography
Message transmission for GH-public key cryptosystem
Journal of Computational and Applied Mathematics
An overview of trace based public key cryptography over finite fields
Journal of Computational and Applied Mathematics
Algorithms for Relatively Cyclotomic Primes
Fundamenta Informaticae
| Hi-index | 0.00 |
This paper introduces the XTR public key system. XTR is based on a new method to represent elements of a subgroup of a multiplicative group of a finite field. Application of XTR in cryptographic protocols leads to substantial savings both in communication and computational overhead without compromising security.