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

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

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

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

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

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

biblio

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

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

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

biblio

A New Key Exchange Algorithm over a VLC Indoor Channel

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

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

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

55nm CMOS standard-cell library
Algorithm design and analysis
arrays
Ciphers
coarse-grained reconfigurable cryptologic array
collaboration
composability
Cryptography
cryptology
Different Operations Similar Structure
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
logic design
logic synthesis
M/DLFSR
Metrics
multiply/divide linear feedback shift register
Policy
Policy-Governed Secure Collaboration
power aware computing
power consumption saving
pubcrawl
Reconfigurable
reconfigurable architectures
reconfigurable coarse-grained cryptographic processing unit
resilience
Resiliency
Scalability
shift registers
size 55.0 nm

biblio

A bisectional multivariate quadratic equation system for RFID anti-counterfeiting

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

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

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

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

biblio

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

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

advanced encryption standard (AES)
AES-128
AES-192
AES-256
AES Rijndael algorithm
Algorithm design and analysis
algorithmic functions
Clocks
composability
Cryptography
decryption
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
inverse mix-columns transformations
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
secure data transmission
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

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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