ELLIPTIC CURVE DIGITAL SIGNATURE ALGORITHM
T. Johnson
Abstract
Open-access reader
T. Johnson
Abstract
Open-access reader
Elliptic curve cryptography has been a remarkable development in the history of cryptography thanks to the properties provided by the implementation of elliptic curve cryptography. Elliptic curve cryptography has proven to be adaptable given its broad presence across various electronics of diering sizes and capabilities. Elliptic curve cryptography is known for utilizing the discrete logarithm problem, modern algebra, and elliptic curves that have encouraged continued research into elliptic curve cryptography in its advantages and restrictions. The current comprehension of elliptic curves as well as continuing advancements and employments of elliptic curve cryptography have yielded the elliptic curve digital signature algorithm (ECDSA) which has become an alternative to the primary Digital Signature Algorithm. TheECDSA provides advantages of elliptic curve cryptography to the function of the digital signature algorithm to authenticate and protect transmissions between involved parties. Such can be explored in the securing of bitcoinrelated transactions where the completely electronic, decentralized currencywould face a multitude of cyber threats and require safeguards to remaintrustworthy.
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Elliptic curve cryptography has been a remarkable development in the history of cryptography thanks to the properties provided by the implementation of elliptic curve cryptography. Elliptic curve cryptography has proven to be adaptable given its broad presence across various electronics of diering sizes and capabilities. Elliptic curve cryptography is known for utilizing the discrete logarithm problem, modern algebra, and elliptic curves that have encouraged continued research into elliptic curve cryptography in its advantages and restrictions. The current comprehension of elliptic curves as well as continuing advancements and employments of elliptic curve cryptography have yielded the elliptic curve digital signature algorithm (ECDSA) which has become an alternative to the primary Digital Signature Algorithm. TheECDSA provides advantages of elliptic curve cryptography to the function of the digital signature algorithm to authenticate and protect transmissions between involved parties. Such can be explored in the securing of bitcoinrelated transactions where the completely electronic, decentralized currencywould face a multitude of cyber threats and require safeguards to remaintrustworthy.
Key concepts: Elliptic Curve Digital Signature Algorithm, Elliptic curve cryptography, Curve25519, Tripling-oriented Doche–Icart–Kohel curve, Elliptic curve point multiplication, Cryptography, Counting points on elliptic curves, Hessian form of an elliptic curve