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Download "Насколько безопасно 256-битное шифрование? [3Blue1Brown]"

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vertdider
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dider
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образовательный
образовательное
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цифровая подпись
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256 битное шифрование
265-битное шифрование
программирование
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математика
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интегральная схема
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  • ruRussian
Download
00:00:00
here is a site with shawarma works
00:00:04
[music]
00:00:11
in my story about cryptocurrencies I
00:00:14
mentioned 2 situations when for successful
00:00:16
hacking you had to guess a
00:00:18
certain sequence of 256
00:00:21
bits in one case it was a digital
00:00:25
signature in the other a cryptographic
00:00:27
hash function,
00:00:28
let’s say you need to hack messages
00:00:31
whose hash is sha -256 represents a
00:00:35
specific set of 256 bits, there is no
00:00:39
better way than to start going through the options and
00:00:41
this will require an average of 2 to the 256th
00:00:44
power of women, so this number is so far from
00:00:48
everything we are familiar with that it is difficult for us to even
00:00:50
imagine how big it is, but we
00:00:53
will try 2 to the 256th power this is the
00:00:57
same as 2 in 32 multiplied by itself 8
00:01:01
times two in 32 is four billion which you
00:01:04
can already imagine or see in the
00:01:06
news headlines and now let's
00:01:10
feel
00:01:11
what 4 billion is multiplied by itself
00:01:14
8 times in a row
00:01:16
as many of you know the
00:01:18
graphics processor in a computer
00:01:20
allows you to perform many
00:01:22
parallel calculations at enormous
00:01:24
speed,
00:01:25
if you program the processor to
00:01:27
constantly calculate a hash function, a
00:01:29
very powerful jikyu will produce a little less than a
00:01:32
billion hashes per second, let’s take
00:01:35
a few of them and fill the computer so
00:01:38
that it can calculate 4 billion
00:01:40
hashes per second, so we got the first
00:01:44
four billion number of hashes
00:01:47
per computer second now
00:01:49
imagine 4 billion of these super-
00:01:52
equipped computers, for comparison
00:01:55
no one named real numbers,
00:01:57
but Google has approximately no more than 10
00:02:00
million servers, in fact,
00:02:03
most of them are far from as
00:02:05
powerful as our imaginary machines, but
00:02:08
let’s say that Google updated all its
00:02:11
servers
00:02:12
4 billion is 1000 pumped up Googles
00:02:18
let's call this unit kilo Google
00:02:20
computing power on earth there are
00:02:23
approximately 7 billion 300 million
00:02:25
people and let a little more than every
00:02:28
second of them have their own personal kilo
00:02:31
Google now imagine 4 billion
00:02:35
copies of
00:02:36
our planet in the milky way approximately from
00:02:39
100 to 400 billion stars, the
00:02:42
exact number is unknown, but somewhere within
00:02:44
these limits it turns out that
00:02:47
one percent of all the stars in the galaxy
00:02:49
should have its own earth revolving around it and half of
00:02:52
its inhabitants should have their own bodies google
00:02:55
now imagine 4 billion copies of
00:02:58
our galaxy, let's call them giga
00:03:02
galactic supercomputer per second
00:03:05
it will perform
00:03:06
2 to the 160th power of calculations what is 4
00:03:12
billion seconds this is approximately 120 6.8
00:03:15
years
00:03:16
multiplied by 4 billion we get five hundred
00:03:19
seven billion years which is thirty-seven
00:03:20
times the age of the universe even
00:03:23
if we had a multi-planet giga
00:03:25
galactic supercomputer skill Google
00:03:27
per person I sort through cabbage soup and numbers
00:03:30
37 times longer than the universe exists,
00:03:32
still the chance of guessing the correct number
00:03:35
would be 1 4 billionth
00:03:40
by the way, now all Bitcoin miners
00:03:43
together produce 5 billion
00:03:46
billion hash calculations per second, this
00:03:51
corresponds to approximately 3 kilo Google a
00:03:54
the secret is that instead of billions of
00:03:58
computers stuffed with graphic processors, miners use something a
00:04:01
thousand times more efficiently, and
00:04:03
special-purpose integrated circuits,
00:04:05
this computing tool
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specially designed exclusively
00:04:09
for mining bitcoins for computing x6
00:04:13
sha-256, turns out to be much more efficient
00:04:17
to forget about the need for universal
00:04:19
computing and create your own an integrated
00:04:21
circuit for one single task
00:04:25
translated and voiced by vert diver studio

Description:

Смотреть видео в оригинале: https://www.youtube.com/watch?v=S9JGmA5_unY Поддержать выход переводов: https://vertdider.tv/to-support-us/ Насколько сложно вычислить 256-битную цифровую подпись (т.е. хеш) путём перебора? Какой компьютер для этого понадобится? Перевод: Анастасия Савостьянова Редактура: Елена Смотрова Научный редактор: Егор Жмак Озвучка: Дмитрий Машкович Монтаж видео: Джон Исмаилов Обложка: Глеб Брайко Продюсер: Роман Морин Спасибо за поддержку на https://www.patreon.com/VertDider. Озвучки Vert Dider выходят с вашей помощью: Nick Denizhenko, Oleksii , Pavel Dunaev, Mikhail Stolpovskiy, Ігор Дорохов, Boris Bendikov, Михаил Панькин, Виталий Алешко, Felix , Pavel Parpura, Yevhen , Katoto Chan, Данил Рягузов, Владимир Кашутин, Kosoy , Anton Bolotov, Максим Минин, Максим Sheridan' Горлов, Luba Karpenko, Anton Makiievskyi, Vladimir Grachev, Denis Titusov, Spartak Kagramanyan, Максим Иванов, Dmitriy Omelyansky, Konstantin Pesyakov, Olga Shistareva, Alex Katkov, Serj Kravchuk, Alexander Zimin, Евгений Миф, Alexey Kukushkin, Пугачёв Пётр, Viktoria , Kamerton_440 , Alexander , Pandaben , Oleg Streltsov, Monza UA, Дмитрий Сергеевич, Alexandr Globov, Мария Соозарь, Vladimir Goshev, Vladyslav Sokolenko, Pavel D, Maria Tronina, Alexander Balynskiy, Ivan Iakimov, Иван Дьяченко, Claudia Barzaeva, sepeca , Olga Podolskaya, Aleksei Masliukov, Valeria Volodina, Alexander Gorodok, Viktor Lova, Ольга Канкулова, Vladimir Gavriushov, Алексей Разводов, Maria Burtseva, Aleksey Sazonov, Irina Shakhverdova, Evgeny Vrublevsky, Виталий Пастушенко, Katya Prokopchuk, Ihar Marozau, Lirin Alex, Alterien Сайт студии: https://vertdider.tv/ Мы в социальных сетях: — http://vk.com/studio_vd — https://t.me/vertdider — https://twitter.com/Vert_Dider — http://coub.com/vertdider

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