1/7/2024 0 Comments Vchat appsWe gave the trainers access to model-written suggestions to help them compose their responses. We trained an initial model using supervised fine-tuning: human AI trainers provided conversations in which they played both sides-the user and an AI assistant. We trained this model using Reinforcement Learning from Human Feedback (RLHF), using the same methods as InstructGPT, but with slight differences in the data collection setup. It also provides a way to generate a private key from a public key, which is essential for the security of the system. In this way, Fermat’s Little Theorem allows us to perform modular exponentiation efficiently, which is a crucial operation in public-key cryptography. To decrypt the message, the recipient simply computes m = c b m o d n m = c^b \bmod n m = c b mod n, which (by Fermat’s Little Theorem) is equivalent to m = ( m a ) b m o d n = m ( a b ) m o d n = m 1 m o d n = m m o d n m = (m^a)^b \bmod n = m^(ab) \bmod n = m^1 \bmod n = m \bmod n m = ( m a ) b mod n = m ( ab ) mod n = m 1 mod n = m mod n. To encrypt a message with the user’s public key ( n, a ) (n, a) ( n, a ), we first convert the message into a number m m m (using some agreed-upon scheme), and then compute the encrypted message c c c as c = m a m o d n c = m^a \bmod n c = m a mod n. This means that when we multiply a a a and b b b together, the result is congruent to 1 1 1 modulo n n n. The user’s private key would be the pair ( n, b ) (n, b) ( n, b ), where b b b is the modular multiplicative inverse of a modulo n n n. The user’s public key would then be the pair ( n, a ) (n, a) ( n, a ), where aa is any integer not divisible by p p p or q q q. We might choose two large prime numbers, p p p and q q q, and then compute the product n = p q n = pq n = pq. For example, suppose we want to generate a public-key cryptography system for a user with the initials “ABC”. One way to generate these keys is to use prime numbers and Fermat’s Little Theorem. In a public-key cryptography system, each user has a pair of keys: a public key, which is widely known and can be used by anyone to encrypt a message intended for that user, and a private key, which is known only to the user and is used to decrypt messages that have been encrypted with the corresponding public key. One of the most common applications is in the generation of so-called “public-key” cryptography systems, which are used to securely transmit messages over the internet and other networks. We have over 400 million users around the world.Fermat’s Little Theorem is used in cryptography in several ways. Get followers, gain fans, receive gifts, make friends and become an idol to others.Īny feedback? Please contact us at LIVE allows you to live-stream your favorite moments, make friends from all around the world, and watch 24/7 live streams to kill boredom. Go live stream or watch other’s live-streaming popular games, such as PUBG, World of Warcraft, Minecraft, GTA, Fortnite, Dota 2, Among Us and more. The space for casual, drop-in audio conversations-with friends and other interesting people around the world, similar to Clubhouse.īroadcasters with the most points will win, and losers will be punished. BIGO LIVE can match you with locals around you or with people from all around the globe. Millions of talented broadcasters, dancers, singers, foodies, comedians, and more. Like to support others who work hard for their dreams Are interested in becoming an influencer by showcasing your talents Enjoy watching gaming live streams and discussing strategies Like chatting with people from around the world Want to watch live streams and interact with hosts in real-time We have over 400 million users around the world. BIGO LIVE allows you to live-stream your favorite moments, make friends from all around the world, and watch 24/7 live streams to kill boredom.
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