ECDSA: How does Bitcoin "chooses" the Elliptic Curve point?
Recently I've read about point addition in elliptic curves and the ECDSA and became curious about how it is applied in the bitcoin code. I've learned that the main idea is, given a point P in the elliptic curve, the relation is: X = xP, where x is the 256-bit integer number Private Key and X is the Public Key. So, my questions are: 1 - How is the point P "chosen"? Is it the same everytime? Or is it randomized? 2 - How is X format defined? Do you just concatenate the x and y coordinates of P?
Does the author (MICHAEL KAPILKOV) not understand the details of his own article, is it just another poorly written article, is it clickbait, all of the above or what am I missing??? secp256k1 is used for private keys, not secp256r1. The article says at one part, "One of the world’s top cryptographers believes that Satoshi Nakamoto chose Bitcoin’s (BTC) elliptic curve either for its efficiency or because it may offer a secret backdoor." Yet further on, the article quotes the same top cryptographer to say, "In contrast, the Koblitz curve parameters are mathematically determined, and there is little possibility for setting such a backdoor.”" Finally, Cointelegraph quotes Wladimir van der Laan to say, "Even if Secp256r1 has a vulnerability, no one has stepped forward yet to announce their discovery. On the other hand, keeping this discovery to themselves could yield a multi-billion dollar reward." secp256r1 vulnerability leads to a multi-billion dollar reward? Where is secp256r1 in bitcoin? There is much room for improvement in this article if I am not missing anything.
This Researcher Says Bitcoin’s Elliptic Curve Could Have a Secret Backdoor
One of the world’s top cryptographers believes that Satoshi Nakamoto chose Bitcoin’s (BTC) elliptic curve either for its efficiency or because it may offer a secret backdoor. Elliptic curve is worth $ billions A Bitcoin public key is created by applying elliptic curve cryptography to the private key. One can easily create a public key […]
IBM warns of “instant breaking of encryption” by Quantum Computing in 5 years. As a priority, Bitcoin should seriously plan to move off Elliptic Curve now. Bitcoin will be one of the first to be attacked.
Anyone else interested in bitcoin? I implemented a large chunk of its technology in C. Includes base58 and base32 encoding, an implementation of the elliptic curve encryption algorithm, node intercommunication, and some other things. Take a look and let me know what you think.
MimbleWimble offers privacy by default, more fungibility and better scale-ability of #bitcoin. Since it doesn't support scripts, it would likely be implemented as a sidechain. It is also tied to Elliptic Curve Cryptography and is not well prepared for quantum computing ... yet.
Descrtiption  Key and signature-size comparison to DSA . As with elliptic-curve cryptography in general, the bit size of the public key believed to be needed for ECDSA is about twice the size of the security level, in bits. For example, at a security level of 80 bits (meaning an attacker requires a maximum of about 2 80 operations to find the private key) the size of an ECDSA public key ... Elliptic Curve Digital Signature Algorithm or ECDSA is a cryptographic algorithm used by Bitcoin to ensure the effective and secure control of ownership of funds.. A few concepts related to ECDSA: private key: A secret number, known only to the person that generated it.A private key can be a randomly generated number but in 2019 most wallets use deterministic key schemes derived from BIP 0032. Elliptic Curve Digital Signature Algorithm (ECDSA) ist ein kryptographischer Algorithmus, der von Bitcoin verwendet wird, um sicherzustellen, dass das Geld nur von seinen rechtmäßigen Inhabern ausgegeben werden kann. SEC or SECG is base on Elliptic Curve Digital Signature Algorithm(ECDSA). Before dive in, we can get a glimpse of what the algorithm looks like in Brown et al’s publication(ec1.png, ec2.png). More info: Elliptic Curve Cryptography: page 6-7. I. Intuition About Elliptic Curve: Basics 1. Double a point(Add a point to itself): Elliptic Curve Digital Signature Algorithm or ECDSA is a cryptographic algorithm used by Bitcoin to ensure that funds can only be spent by their rightful owners.. A few concepts related to ECDSA: private key: A secret number, known only to the person that generated it.A private key is essentially a randomly generated number.
Bitcoin 101 - Elliptic Curve Cryptography - Part 4 ...
Bitcoin 101 Elliptic Curve Cryptography Part 5 The Magic of Signing & Verifying Fabio Carpi. Loading... Unsubscribe from Fabio Carpi? Cancel Unsubscribe. Working... Subscribe Subscribed ... Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com Elliptic Curve Cryptography (ECC) is a type of public key crypt... Elliptic Curve Digital Signature Algorithm ECDSA Part 10 Cryptography Crashcourse - Duration: 35:32. Dr. Julian Hosp - Bitcoin, Aktien, Gold und Co. 5,803 views This is part 11 of the Blockchain tutorial explaining how the generate a public private key using Elliptic Curve. In this video series different topics will ... Bitcoin is a cryptocurrency that uses elliptic curves in the ECDSA. Since cryptosystems often require some form of arithmetic to encode and decode informatio...