Galois fields

biblio

A complex number approach to elliptic curve cryptosystems over finite fields: implementations and experiments

Submitted by grigby1 on Fri, 06/26/2020 - 12:55pm

prime field number-crunching
Elliptic curves
execution
field
finite element analysis
Galois fields
Metrics
network security
prime field
elliptic curve discrete alogarithm issue
pubcrawl
public key cryptography
resilience
Resiliency
Scalability
tests
twofold field math
Additives
elliptic curve cryptosystems
Elliptic curve cryptography
elliptic bend number-crunching
elliptic bend number juggling
elliptic bend math
elliptic bend cryptosystems
elliptic bend
double field
computer security
complex numbers
complex number-crunching
complex number approach
complex number
complex fields
arrange security

biblio

Efficient Implementation of Cryptography on Points of an Elliptic Curve in Residue Number System

Submitted by grigby1 on Fri, 06/26/2020 - 12:54pm

Metrics
weighted number system
Scalability
RNS
Resiliency
resilience
residue number systems
residue number system
public key cryptography
pubcrawl
Modular Multiplication
adding points
Mathematical model
Jacobian matrices
Galois fields
Elliptic curves
Elliptic curve cryptography
elliptic curve
doubling points
Cryptography
computational complexity
arithmetic operations

biblio

Parallel DNA Computing Model of Point-Doubling in Conic Curves Cryptosystem over Finite Field GF(2ˆn)

Submitted by grigby1 on Tue, 01/07/2020 - 10:51am

mathematical curves
Tile Assembly Model
self-assembly
Resiliency
resilience
public key cryptography
pubcrawl
privacy
Predictive Metrics
point-multiplication
point-doubling
point-addition
Point doubling
parallel DNA computing model
Metrics
biocomputing
Human behavior
Galois fields
Finite Field GF(2ˆn)
finite field GF
encoding
Elliptic curves
Elliptic curve cryptography
DNA cryptography
DNA computing
DNA
Cryptographic Protocols
conic curves cryptosystem over finite held
Conic Curves Cryptosystem
Computational modeling

biblio

Enhanced pseudorandom number generator based on Blum-Blum-Shub and elliptic curves

Submitted by aekwall on Wed, 05/01/2019 - 12:37pm

Metrics
Urban areas
statistical testing
squaring operation
Scalability
Resiliency
randomness tests
randomness
random processes
random number generation
public key cryptography
pubcrawl
pseudorandom number generator
NIST statistical test suite
BBS-ECPRNG approach
Mathematical model
Generators
Galois fields
enhanced pseudorandom number generator
Elliptic curves
elliptic curve points
elliptic curve point operations
Elliptic curve cryptography
Curve fitting
cryptographically secure bits
complex pseudorandom number generator
Blum-Blum-Shub

biblio

A New Key Exchange Algorithm over a VLC Indoor Channel

Submitted by grigby1 on Mon, 11/19/2018 - 12:34pm

Neural Synchronization
VLC indoor channel
VLC
Visible Light Communications Security
visible light communication indoor channel
tree parity machine synchronization
Synchronization
synchronisation
stimulus vector
Scalability
Resiliency
resilience
Receivers
Public key
pubcrawl
neuronal synchronization
average synchronization time t_sync
Metrics
key exchange algorithm
indoor communication
hyperelliptic curves
GF(2n)
Galois fields
Galois field
free-space optical communication
Diffie-Hellman protocol
DH-HEMTs
cryptosystem security
Cryptography
Cryptographic Protocols
Biological neural networks

biblio

Research of a reconfigurable coarse-grained cryptographic processing unit based on different operation similar structure

Submitted by grigby1 on Wed, 02/21/2018 - 1:45pm

pubcrawl
logic synthesis
M/DLFSR
Metrics
multiply/divide linear feedback shift register
Policy
Policy-Governed Secure Collaboration
power aware computing
power consumption saving
logic design
Reconfigurable
reconfigurable architectures
reconfigurable coarse-grained cryptographic processing unit
resilience
Resiliency
Scalability
shift registers
size 55.0 nm
Different Operations Similar Structure
Algorithm design and analysis
arrays
Ciphers
coarse-grained reconfigurable cryptologic array
collaboration
composability
Cryptography
cryptology
55nm CMOS standard-cell library
different operations similar structure reconfigurable design
feedback
feedback shift register structure
finite Field GF(2n)
Galois fields
Human behavior
human factor
Linear feedback shift registers

biblio

A bisectional multivariate quadratic equation system for RFID anti-counterfeiting

Submitted by grigby1 on Wed, 12/20/2017 - 1:05pm

Radio frequency
matrix sets
private key
private key cryptography
pubcrawl
Public key
public key cryptography
Quadratic
quantum cryptography
matrix algebra
radiofrequency identification
Resiliency
RF tag data encryption
RFID
RFID anticounterfeiting
RFIDs
set theory
Algorithm design and analysis
key generation process
Human Factors
Human behavior
Galois fields
finite field
Ergodic Matrix
EPC code
encryption process
encryption
Databases
counterfeit
BMQE system
BMQ polynomials
bisectional multivariate quadratic equation system
anticounterfeit scheme

biblio

Research on the Underlying Method of Elliptic Curve Cryptography

Submitted by grigby1 on Tue, 12/12/2017 - 1:24pm

elliptic curve
Elliptic curve cryptography
Elliptic Curve Cryptosystem
Elliptic curves
finite field
Galois fields
generator
Generators
group
Metrics
pubcrawl
Receivers
Resiliency
Scalability

biblio

A compact and efficient architecture for elliptic curve cryptographic processor

Submitted by grigby1 on Mon, 11/27/2017 - 12:06pm

heterogeneous function units
word length 576 bit
UMC
size 90 nm
scalar multiplication
Resiliency
Registers
public key cryptography
pubcrawl
parallel processing
Montgomery modular division algorithm
microprocessor chips
Metrics
Kaliski's Montgomery modular inversion
arbitrary curves
hardware complexity
Hardware
Galois fields
Elliptic curve cryptography (ECC)
Elliptic curve cryptography
elliptic curve cryptographic processor
dual-field elliptic curve cryptographic processor
computer architecture
composability
CMOS integrated circuits
CMOS 1 P9M technology
clustering technology
Clustering algorithms

biblio

FPGA based hardware implementation of AES Rijndael algorithm for Encryption and Decryption

Submitted by grigby1 on Thu, 04/20/2017 - 12:40pm

secure data transmission
Inverse S-Box transformations
network on chip
network on chip security
network security algorithm
pre-calculated look-up tables
precalculated LUT
pubcrawl
Resiliency
Rijndael
Scalability
inverse mix-columns transformations
Table lookup
timing
Verilog-HDL
Virtex-7 XC7VX690T chip
wired digital communication networks
wireless digital communication networks
Xilinx ISE Design Suite-14.7 Tool
Xilinx Virtex-7 FPGA
Xilinx XPower Analyzer
decryption
AES-128
AES-192
AES-256
AES Rijndael algorithm
Algorithm design and analysis
algorithmic functions
Clocks
composability
Cryptography
advanced encryption standard (AES)
encryption
Field Programmable Gate Array (FPGA)
field programmable gate arrays
FPGA based hardware implementation
Galois field multiplications
Galois fields
GF (28)
Hardware Description Language (HDL)
hardware description languages

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Cyber-Physical Systems Virtual Organization

Fostering collaboration among CPS professionals in academia, government, and industry

Galois fields

A complex number approach to elliptic curve cryptosystems over finite fields: implementations and experiments

Efficient Implementation of Cryptography on Points of an Elliptic Curve in Residue Number System

Parallel DNA Computing Model of Point-Doubling in Conic Curves Cryptosystem over Finite Field GF(2ˆn)

Enhanced pseudorandom number generator based on Blum-Blum-Shub and elliptic curves

A New Key Exchange Algorithm over a VLC Indoor Channel

Research of a reconfigurable coarse-grained cryptographic processing unit based on different operation similar structure

A bisectional multivariate quadratic equation system for RFID anti-counterfeiting

Research on the Underlying Method of Elliptic Curve Cryptography

A compact and efficient architecture for elliptic curve cryptographic processor

FPGA based hardware implementation of AES Rijndael algorithm for Encryption and Decryption