Montgomery curves and their arithmetic: The case of large characteristic fields
C Costello, B Smith - Journal of Cryptographic Engineering, 2018 - Springer
Three decades ago, Montgomery introduced a new elliptic curve model for use in Lenstra's
ECM factorization algorithm. Since then, his curves and the algorithms associated with them …
ECM factorization algorithm. Since then, his curves and the algorithms associated with them …
High-speed high-security signatures
This paper shows that a $390 mass-market quad-core 2.4 GHz Intel Westmere (Xeon
E5620) CPU can create 109000 signatures per second and verify 71000 signatures per …
E5620) CPU can create 109000 signatures per second and verify 71000 signatures per …
Cryptographic accelerators for digital signature based on Ed25519
M Bisheh-Niasar, R Azarderakhsh… - … Transactions on Very …, 2021 - ieeexplore.ieee.org
This article presents highly optimized implementations of the Ed25519 digital signature
algorithm [Edwards curve digital signature algorithm (EdDSA)]. This algorithm significantly …
algorithm [Edwards curve digital signature algorithm (EdDSA)]. This algorithm significantly …
Montgomery curves and the Montgomery ladder
DJ Bernstein, T Lange - 2017 - research.tue.nl
The Montgomery ladder is a remarkably simple method of computing scalar multiples of
points on a broad class of elliptic curves. This article surveys a wide range of topics related …
points on a broad class of elliptic curves. This article surveys a wide range of topics related …
The simplest protocol for oblivious transfer
Oblivious Transfer (OT) is the fundamental building block of cryptographic protocols. In this
paper we describe the simplest and most efficient protocol for 1-out-of-n OT to date, which is …
paper we describe the simplest and most efficient protocol for 1-out-of-n OT to date, which is …
Elligator: elliptic-curve points indistinguishable from uniform random strings
DJ Bernstein, M Hamburg, A Krasnova… - Proceedings of the 2013 …, 2013 - dl.acm.org
Censorship-circumvention tools are in an arms race against censors. The censors study all
traffic passing into and out of their controlled sphere, and try to disable censorship …
traffic passing into and out of their controlled sphere, and try to disable censorship …
Elliptic curve lightweight cryptography: A survey
CA Lara-Nino, A Diaz-Perez… - IEEE Access, 2018 - ieeexplore.ieee.org
Since it was invented in 1986, elliptic curve cryptography (ECC) has been studied widely in
industry and academy from different perspectives. Some of these aspects include …
industry and academy from different perspectives. Some of these aspects include …
Optimized ECC implementation for secure communication between heterogeneous IoT devices
The Internet of Things is integrating information systems, places, users and billions of
constrained devices into one global network. This network requires secure and private …
constrained devices into one global network. This network requires secure and private …
On emerging family of elliptic curves to secure internet of things: ECC comes of age
Lightweight Elliptic Curve Cryptography (ECC) is a critical component for constructing the
security system of Internet of Things (IoT). In this paper, we define an emerging family of …
security system of Internet of Things (IoT). In this paper, we define an emerging family of …
FPGA implementation of high-speed area-efficient processor for elliptic curve point multiplication over prime field
Developing a high-speed elliptic curve cryptographic (ECC) processor that performs fast
point multiplication with low hardware utilization is a crucial demand in the fields of …
point multiplication with low hardware utilization is a crucial demand in the fields of …