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Genus 2 Hyperelliptic Curve Families with Explicit Jacobian Order Evaluation and Pairing-Friendly Constructions
public-key cryptography / Hyperelliptic Curves Genus 2 Order Computation
2012/6/14
The use of (hyper)elliptic curves in cryptography relies on the ability to compute the Jacobian order of a given curve. Recently, Satoh proposed a probabilistic polynomial time algorithm to test wheth...
Genus 2 Hyperelliptic Curve Families with Explicit Jacobian Order Evaluation and Pairing-Friendly Constructions
public-key cryptography / Hyperelliptic Curves Genus 2 Order Computation Ordinary Curves Pairing-Friendly Constructions Cocks-Pinch Method Brezing-Weng Method.
2012/3/22
The use of (hyper)elliptic curves in cryptography relies on the ability to compute the Jacobian order of a given curve. Recently, Satoh proposed a probabilistic polynomial time algorithm to test wheth...
Genus 2 Hyperelliptic Curve Families with Explicit Jacobian Order Evaluation and Pairing-Friendly Constructions
public-key cryptography / Hyperelliptic Curves Genus 2 Order Computation Ordinary Curves Pairing-Friendly Constructions Cocks-Pinch Method Brezing-Weng Method.
2012/3/21
The use of (hyper)elliptic curves in cryptography relies on the ability to compute the Jacobian order of a given curve. Recently, Satoh proposed a probabilistic polynomial time algorithm to test wheth...
ACCELERATING THE SCALAR MULTIPLICATION ON GENUS 2 HYPERELLIPTIC CURVE CRYPTOSYSTEMS
public-key cryptography / hyperelliptic curve cryptosystem public-key cryptography discrete logarithm problem
2012/3/21
Elliptic Curve Cryptography (ECC) was independently introduced by Koblitz and Miller in the eighties. ECC requires shorter sizes of underlying finite fields in com- parison to other public key cryptos...
Fast Endomorphism for any Genus 2 Hyperelliptic Curve over a Finite Field of Even Characteristic
Hyperelliptic cryptosystem Jacobian efficiently computable endomorphism
2010/11/26
In EUROCRYPT 2009, Galbraith, Lin and Scott constructed an efficiently computable endomorphism for a large family of elliptic curves defined over finite fields of large characteristic. They demonstrat...
Software Implementation of Genus-2 Hyperelliptic Curve Cryptosystems Over Prime Fields
Hyperelliptic curve divisor addition efficient implementation
2009/6/2
This paper describes the system parameters and software implementation of a HECDSA cryptosystem based on genus-2 hyperelliptic curves over prime fields. We show how to reduce the computational complex...
Efficient Implementation of Genus Three Hyperelliptic Curve Cryptography over F2n
hyperelliptic curve arithmetic scalar multiplication Harley algorithm
2009/4/10
The optimization of the Harley algorithm is an active area
of hyperelliptic curve cryptography. We propose an efficient method for
software implementation of genus three Harley algorithm over F2n. O...
Finding Optimum Parallel Coprocessor Design for Genus 2 Hyperelliptic Curve Cryptosystems
hyperelliptic curve hardware architecture coprocessor
2009/3/20
Hardware accelerators are often used in cryptographic applications for speeding up the highly arithmetic-intensive publickey
primitives, e.g. in high-end smart cards. One of these emerging and very p...