- Elliptic Curve Digital Signature Algorithm - Bitcoin Wiki
- Elliptic Curve Digital Signature Algorithm – BitcoinWiki
- What is the math behind elliptic curve cryptography ...
- Elliptic Curve Digital Signature Algorithm - Bitcoin Wiki
- Elliptic Curve Digital Signature Algorithm – BitcoinWiki

1Block is a passwordless authentication protocol using the same Elliptic Curve Cryptography used for Bitcoin. No more passwords to remember, and no sensitive or personal data sent during login.

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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?

submitted by marcelo10fr1 to Bitcoin [link] [comments]
I've learned that the main idea is, given a point P in the elliptic curve, the relation is:

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.

submitted by cookmanager to Bitcoin [link] [comments]
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.

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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 […]

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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): 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 (ECDSA) ist ein kryptographischer Algorithmus, der von Bitcoin verwendet wird, um sicherzustellen, dass das Geld nur von seinen rechtmäßigen Inhabern ausgegeben werden kann. The elliptic curve used by Bitcoin, Ethereum, and many other cryptocurrencies is called secp256k1. The equation for the secp256k1 curve is y² = x³+7. This curve looks like: Satoshi chose secp256k1 for no particular reason. Point addition. You know how you can add two numbers together to get a third number? You can add two points on an elliptic curve together to get a third point on the curve ... 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.

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Bitcoin 101 Elliptic Curve Cryptography Part 5 The Magic of Signing & Verifying Fabio Carpi. Loading... Unsubscribe from Fabio Carpi? Cancel Unsubscribe. Working... Subscribe Subscribed ... Bitcoin is a cryptocurrency that uses elliptic curves in the ECDSA. Since cryptosystems often require some form of arithmetic to encode and decode informatio... Vídeo original: https://youtu.be/iB3HcPgm_FI Welcome to part four in our series on Elliptic Curve Cryptography. I this episode we dive into the development o... Bitcoin 101 - Elliptic Curve Cryptography - Part 4 - Generating the Public Key (in Python) - Duration: 21:22. CRI 24,686 views. 21:22. Best Methods to Build Rapport - Anthony Robbins - Duration ... Elliptic Curve Digital Signature Algorithm ECDSA Part 10 Cryptography Crashcourse - Duration: 35:32. Dr. Julian Hosp - Bitcoin, Aktien, Gold und Co. 5,803 views