Jump to content

Talk:Discrete logarithm records

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

CPU-hours?

[edit]

CPU-hours isn't a proper unit for measurement. Please either specify WHAT a CPU-hour is or use another unit which is directly compareable. --82.113.122.166 (talk) 07:56, 17 July 2013 (UTC)[reply]

ECC

[edit]

No, it must be a joke! With less than 160 or even 164 bits Diffie–Hellman key exchange is not really secure against NSA as a matter of fact.

See for example Pollard's_rho_algorithm_for_logarithms.

But ok, it seems 113 is really the record today. Perfect, with the Mersenne Prime it is perfectly secure. 109.90.224.162 (talk) 09:25, 30 October 2015 (UTC) — Preceding unsigned comment added by 109.90.224.162 (talk) 09:44, 29 October 2015 (UTC)[reply]

[edit]

Hello fellow Wikipedians,

I have just modified one external link on Discrete logarithm records. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:

When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.

This message was posted before February 2018. After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than regular verification using the archive tool instructions below. Editors have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the RfC before doing mass systematic removals. This message is updated dynamically through the template {{source check}} (last update: 5 June 2024).

  • If you have discovered URLs which were erroneously considered dead by the bot, you can report them with this tool.
  • If you found an error with any archives or the URLs themselves, you can fix them with this tool.

Cheers.—InternetArchiveBot (Report bug) 09:08, 11 September 2017 (UTC)[reply]

Pollard rho - but there might be a better method?

[edit]

Yes, with Pollard rho method it very hard to find the discrete logarithm with more than 120 bits in case of elliptic curves.

But this is not my question.

My question is, might someone know a much better method? — Preceding unsigned comment added by Scheerer Software (Wiesbaden) (talkcontribs) 18:04, 23 March 2019 (UTC) Scheerer Software (Wiesbaden) (talk) 18:09, 23 March 2019 (UTC)[reply]

We can read now, "On 16 June 2020, Aleksander Zieniewicz (zielar) and Jean Luc Pons (JeanLucPons) announced the solution of a 114-bit interval elliptic curve discrete logarithm problem on the secp256k1 curve by solving a 114-bit private key in Bitcoin Puzzle Transactions Challenge. To set a new record, they used their own software [39] based on the Pollard Kangaroo on 256x NVIDIA Tesla V100 GPU processor and it took them 13 days. Two weeks earlier - They used the same number of graphics cards to solve a 109-bit interval ECDLP in just 3 days.", but what does it mean?

Is secp256k1 broken, is Bitcoin broken, might it be broken in near future?

For me personally secp256k1 looks really quite simple, because the term ax is just removed, compared to secp256r1. Why secp256k1 was choosen instead of secp245r1 for Bitcoin? It looks crazy. 95.222.84.67 (talk) 12:22, 22 October 2020 (UTC)[reply]


95.222.84.67 (talk) 14:47, 21 October 2020 (UTC) — Preceding unsigned comment added by 178.202.60.40 (talk) [reply]

My conclusion

[edit]

Be careful, the private key must be chosen randomly from the entire interval. 128 bits are not enough! That's because of the birthday paradox. But all elliptic curves with p > 2^160 are safe. 178.202.60.40 (talk) 08:54, 29 November 2022 (UTC)[reply]

Prime exponents – clarification needed?

[edit]

I don't think so, as "prime exponent" just means that the exponent is a prime number, which one can deduce 1279 is. Alfa-ketosav (talk) 15:52, 18 August 2023 (UTC)[reply]