# 隨機數生成器

使用約束隨機生成數位。

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## Permalink隨機數生成器：適用於各種應用的多功能工具

## Permalink簡要說明

A Random Number Generator (RNG) is a statistical technique that creates numbers that are not predetermined. An RNG can be hardware- or software-based; however, software-based RNGs are the most popular today. These methods generate randomized sequences using a variety of mathematical methodologies. The underlying algorithm determines the randomness of these numbers, and the quality of the RNG is judged by how random the produced numbers are.

## Permalink特徵

Random Number Generators have various features that make them useful in various applications. Here are five of the most essential features of an RNG:

### Permalink不可 預知

The unpredictability of an RNG is its most crucial attribute. The produced numbers should be random and unexpected so that no one can guess the following number in the series.

### Permalink速度

RNGs should be rapid enough to produce random numbers. Speed is particularly significant in applications that require vast amounts of random numbers, such as simulations or cryptography.

### Permalink可複製性

If given the same seed value, an RNG should be able to create the same sequence of random numbers again. This capability is functional during testing and debugging when the exact random integers must be created again.

### Permalink個人化

An RNG should allow for modification of the produced numbers, such as changing the number range or producing numbers with a particular distribution.

### Permalink可擴展性

RNGs should be scalable and capable of producing vast volumes of random numbers without reducing unpredictability quality.

## Permalink如何應用它

It is simple to use an RNG. Most programming languages have RNG libraries; you may use a function to produce an unpredictable number. "rand()" is the most often used function in C and C++ for producing random numbers.

Here is the method of how to use an RNG in Python:

arduinoCopy code

import random # Generate a random number between 1 and 100 x = random.randint(1, 100) print(x)

## Permalink4. 隨機數產生器範例

Many examples of Random Number Generators are available, both software- and hardware-based. Here are a few examples:

### Permalink線性全等發電機 （LCG）

The Linear Congruential Generator is among the oldest and most commonly used RNGs. It is a software-based technique that creates a sequence of random integers based on a linear equation. LCGs are rapid, but their unpredictability may be readily anticipated if the parameters are not correctly selected.

### Permalink梅森龍捲風

Mersenne Twister is a standard RNG in various computer languages, including Python and Ruby. It is a software-based technique that creates a high-quality series of random integers. Mersenne Twister is also quick and scalable.

### Permalink基於硬體的 RNG

Hardware-based RNGs create random numbers using physical processes such as air noise, thermal noise, or radioactive decay. These RNGs are often slower than software-based RNGs, but they are more reliable and less vulnerable to forecast attacks.

## Permalink局限性

Random Number Generators have limitations, and it is essential to be aware of them when using them. Here are a few limitations of RNGs:

### Permalink偽隨機性：

Software-based RNGs are pseudorandom, which means that they are deterministic and predictable. They generate numbers that appear to be random, but if the algorithm and seed value are known, the same sequence of random numbers can be generated again.

### Permalink偏見：

Some RNGs can generate biased numbers, meaning specific numbers are more likely to be generated than others. Biases can happen if the algorithm needs to be better designed or the seed value needs to be more random.

### Permalink週期性：

RNGs have a limited period, meaning they will eventually repeat the same sequence of numbers. The length of the time depends on the algorithm and the seed value.

## Permalink隱私和安全

When using RNGs, privacy and security are crucial considerations. The RNG's quality is critical if the generated numbers are used for cryptographic purposes. RNGs should be checked for statistical randomness and sensitivity to prediction attacks. Hardware-based RNGs are typically more secure than software-based RNGs because they are less vulnerable to algorithmic flaws.

## Permalink有關客戶支持的資訊

Information on Customer Support, The majority of RNGs include customer support. If you use an RNG for a critical application, you must have access to support services in case of a problem. Some RNG suppliers give 24/7 customer service, while others have restricted support hours. It is critical to select an RNG supplier who satisfies your support requirements.

## Permalink常見問題

### Permalink問題 1.RNG 可以用於加密嗎？

Yes, RNGs can be used for cryptography, but it is essential to use a high-quality RNG that has been tested for statistical randomness and susceptibility to prediction attacks.

### Permalink問題 2.基於硬體和基於軟體的 RNG 有什麼區別？

Hardware-based RNGs use physical processes to generate random numbers, while software-based RNGs use mathematical algorithms. Hardware-based RNGs are generally more secure than software-based RNGs.

### Permalink問題 3.RNG 可以生成真正的隨機數嗎？

RNGs cannot generate truly random numbers because they are deterministic algorithms. However, they can generate statistically random numbers that appear to be random for practical purposes.

### Permalink問題 4.RNG 可以用於類比嗎？

Yes, RNGs are commonly used in simulations to generate random inputs.

### Permalink問題 5.使用 RNG 是否存在任何法律問題？

No, there are no legal issues with using RNGs as long as they are used for legal purposes.

## Permalink相關工具

RNGs are often combined with other tools, such as hashing algorithms, to provide additional security. Here are a few related tools:

### Permalink加密哈希函數

Cryptographic hash functions are algorithms that take an input and create a hash with a predetermined size. Hash functions are utilized in many applications, such as message authentication, digital signatures, and password storage.

### Permalink金鑰產生演算法

Encryption keys are generated using key generation algorithms for both symmetric and asymmetric encryption techniques. The quality of the keys utilized determines the security of encryption techniques.

### Permalink真隨機數產生器 （TRNG）

TRNGs (True Random Number Generators) create random numbers using physical processes. TRNGs are more secure than PNGs, although they are often slower and more costly.

## Permalink結論

A random number generator is valuable in statistics, cryptography, and computer simulations. However, it is critical to understand its limitations and the effects on security and confidentiality. To utilize it efficiently, select a high-quality, tested generator and understand its limits. You can make the most of this adaptable instrument and reap its rewards.