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| author | Sebastiano Tronto <sebastiano@tronto.net> | 2025-02-27 15:42:02 +0100 |
|---|---|---|
| committer | Sebastiano Tronto <sebastiano@tronto.net> | 2025-02-27 15:42:02 +0100 |
| commit | 63f56721d4c420307112f253de473455bcd0c627 (patch) | |
| tree | 820144eb012710e004be8c899fd05dbe657ae9d1 /src | |
| parent | 38f37d099fde303f603e8461549986504e747999 (diff) | |
| download | sebastiano.tronto.net-63f56721d4c420307112f253de473455bcd0c627.tar.gz sebastiano.tronto.net-63f56721d4c420307112f253de473455bcd0c627.zip | |
Make capitalization consistent in ECM talk
Diffstat (limited to 'src')
| -rw-r--r-- | src/talks/ecm/index.html.raw | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/src/talks/ecm/index.html.raw b/src/talks/ecm/index.html.raw index 1ed9eb5..93b0919 100644 --- a/src/talks/ecm/index.html.raw +++ b/src/talks/ecm/index.html.raw | |||
| @@ -1,7 +1,7 @@ | |||
| 1 | <!doctype html> | 1 | <!doctype html> |
| 2 | <html lang="en"> | 2 | <html lang="en"> |
| 3 | <head> | 3 | <head> |
| 4 | <title>Elliptic Curves and the ECM algorithm</title> | 4 | <title>Elliptic Curves and the ECM Algorithm</title> |
| 5 | <meta name="viewport" content="width=device-width" /> | 5 | <meta name="viewport" content="width=device-width" /> |
| 6 | 6 | ||
| 7 | <!-- Import MathJax script --> | 7 | <!-- Import MathJax script --> |
| @@ -438,7 +438,7 @@ def find_factor(n: int) -> int: | |||
| 438 | <div> | 438 | <div> |
| 439 | <p><strong>To find a factor of \(n\):</strong><p> | 439 | <p><strong>To find a factor of \(n\):</strong><p> |
| 440 | <ol> | 440 | <ol> |
| 441 | <li>Take a random Elliptic Curve \(E\) | 441 | <li>Take a random elliptic curve \(E\) |
| 442 | and a random point \(P\) of \(E\)</li> | 442 | and a random point \(P\) of \(E\)</li> |
| 443 | <li>Take a <em>suitable number \(m\)</em></li> | 443 | <li>Take a <em>suitable number \(m\)</em></li> |
| 444 | <li>Try to compute \(m\cdot P = P+P+\cdots+P\quad\) (\(m\) times) | 444 | <li>Try to compute \(m\cdot P = P+P+\cdots+P\quad\) (\(m\) times) |
| @@ -484,7 +484,7 @@ background-blend-mode: overlay;"> | |||
| 484 | Q: Aren't we just computing the \(\operatorname{GCD}\) with random numbers? | 484 | Q: Aren't we just computing the \(\operatorname{GCD}\) with random numbers? |
| 485 | </strong></p> | 485 | </strong></p> |
| 486 | <p> | 486 | <p> |
| 487 | A: Yes, but Elliptic Curve operations produce "good candidates" | 487 | A: Yes, but elliptic curve operations produce "good candidates" |
| 488 | for these random numbers. | 488 | for these random numbers. |
| 489 | </p> | 489 | </p> |
| 490 | </div> | 490 | </div> |
| @@ -504,7 +504,7 @@ Pollard's \(p-1\) Algorithm</a>, but ECM is faster.</p> | |||
| 504 | <h1>Elliptic Curve Method - Questions</h1> | 504 | <h1>Elliptic Curve Method - Questions</h1> |
| 505 | <div class="centertext"> | 505 | <div class="centertext"> |
| 506 | <p><strong> | 506 | <p><strong> |
| 507 | Q: Are there objects that are more complicated than Elliptic Curves | 507 | Q: Are there objects that are more complicated than elliptic curves |
| 508 | and can make the method even faster? | 508 | and can make the method even faster? |
| 509 | </strong></p> | 509 | </strong></p> |
| 510 | <p>A: Yes, there are higher-dimensional | 510 | <p>A: Yes, there are higher-dimensional |
| @@ -594,7 +594,7 @@ background-blend-mode: overlay;"> | |||
| 594 | // Function to add a footer to every slide. | 594 | // Function to add a footer to every slide. |
| 595 | function slideFooter() { | 595 | function slideFooter() { |
| 596 | const start = "<div class=\"footer\"><table class=\"footer-table\"><tr>"; | 596 | const start = "<div class=\"footer\"><table class=\"footer-table\"><tr>"; |
| 597 | const title = "Elliptic Curves and the ECM algorithm" | 597 | const title = "Elliptic Curves and the ECM Algorithm" |
| 598 | const link = "<a href=https://tronto.net/talks/ecm>tronto.net/talks/ecm</a>"; | 598 | const link = "<a href=https://tronto.net/talks/ecm>tronto.net/talks/ecm</a>"; |
| 599 | const end = "</tr></table></div>"; | 599 | const end = "</tr></table></div>"; |
| 600 | const content = | 600 | const content = |