Is there a reason why ecdh.Curve.NewPublicKey does not support compressed points?

#golang #go #ec #ellipticCurves

IPFire uses top-of-the-art cryptography for its IPsec VPN tunnels. Therefore it is faster & more secure than many of its competitors #ipsec #ellipticcurves
🚨🛑 "Breaking News: Elliptic Curves Explained!" 🚨🛑 Apparently, we're still trying to figure out if these convoluted squiggles are more than just math nerds' doodles. Spoiler alert: They're complex and simple, pure and applied...and still just as boring. 😂📉
https://www.johndcook.com/blog/2019/02/21/what-is-an-elliptic-curve/ #BreakingNews #EllipticCurves #MathNerds #ComplexSimplicity #BoringButImportant #HackerNews #ngated
What is an elliptic curve? Informal and formal definition

The informal definition of an elliptic curve is simple. The formal definition is more involved.

John D. Cook | Applied Mathematics Consulting
IPFire uses top-of-the-art cryptography for its IPsec VPN tunnels. Therefore it is faster & more secure than many of its competitors #ipsec #ellipticcurves

#TIL you can visualise #EllipticCurves: https://elliptic-curves.art/

Beautiful!

I just wish I was clever enough to understand them 😢

#3DArt #Cryptography #Mathematics

elliptic-curves.art

UPDATE: Canonical summation finds rational points on elliptic curve 5077a1

We discovered four rational points on 5077a1 using a canonical summation toolset. These were originally believed to be independent generators, but have since been confirmed to lie in the
𝑍-span of Sage’s known basis.

All four points remain valid and were found independently, without descent or modular methods. A formal correction notice and updated documentation are now included.

Preprint + correction + dataset:
https://doi.org/10.5281/zenodo.15651876

Comments, verification, and feedback still welcome!

#math #numbertheory #ellipticcurves #LMFDB #BSD

Discovery of a Rank 4 Subgroup on Elliptic Curve 5077a1 via Canonical Height Analysis

We present the discovery of four independent rational points on the elliptic curve 5077a1 over Q, forming a full-rank subgroup of rank 4. This exceeds the currently published rank 3 in both the LMFDB and Cremona tables. The result was obtained via a canonical height–driven generator-hunting algorithm that validates linear independence through the canonical height pairing matrix. We provide the exact coordinates of all four generators and confirm that they span a subgroup of strictly higher rank than the SageMath default basis. All data, verification scripts, and rational point files are publicly archived for independent validation.

Zenodo
Ah yes, the classic "solve a math meme with elliptic curves" saga, where your greatest adversary isn't the math, but a #CAPTCHA 😂🔒. Who knew that the real #problem-solving technique was learning how to beg a website's owner for mercy via email 📧.
https://artofproblemsolving.com/community/c2532359h2760821_the_emoji_problem__part_i?srsltid=AfmBOor9TbMq_A7hGHSJGfoWaa2HNzducSYZu35d_LFlCSNLXpvt-pdS #mathmemes #ellipticcurves #HackerNews #humor #HackerNews #ngated
A simple explanation of a/(b+c) + b/(c+a) + c/(a+b) = 4
https://vitalik.eth.limo/general/2025/05/11/abc4.html
#math #ellipticcurves