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This collection combines attributed Wikipedia excerpts and original SciAtlas bilingual definitions under CC BY-SA 4.0. Excerpts were extracted and shortened; machine-assisted Chinese translations are labeled. Original entries provide further reading. Language versions may differ in emphasis and do not replace standards. Concepts can appear in several disciplines; consult standards and original literature for rigorous use.

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Cryptography

Vigenère cipher

维吉尼亚密码

维吉尼亚密码用重复关键词决定逐字母移位,相比固定移位形成多表替换;周期性仍会泄露统计规律,属于历史教学算法。

The Vigenère cipher uses a repeating keyword to choose letter shifts, producing polyalphabetic substitution. Its periodic structure leaks statistical patterns and is insecure for modern use.

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Cryptography

Affine cipher

仿射密码

仿射密码将字母编号映射为 ax+b 模字母表大小。为保证可逆,a 必须与模数互素;它的线性结构无法提供现代密码安全性。

An affine cipher maps alphabet indices to ax+b modulo the alphabet size. The multiplier must be coprime to that size for reversibility, but the linear structure is not cryptographically secure.

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Cryptography

Atbash

Atbash 密码

Atbash 将字母表的顺序反转,例如 A 对应 Z、B 对应 Y。它没有有效的秘密密钥,仅能作为字符映射和历史密码示例。

Atbash reverses an alphabet, pairing A with Z and B with Y in the Latin alphabet. It has no effective secret key and serves only as a historical substitution example.

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Cryptography

Rail fence cipher

栅栏换位密码

栅栏密码把字符沿多条轨道往返排列再按轨读取,改变字符位置而非字符本身;这种可预测换位不能抵抗现代密码分析。

The rail fence cipher writes characters along a zigzag across rails and reads them rail by rail. It permutes positions rather than values and cannot resist modern cryptanalysis.

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Cryptography

Frequency analysis

字母频率分析

频率分析比较密文符号或符号组的出现频数与已知语言统计,常用于研究历史替换密码;现代安全密码应消除这类直接对应。

Frequency analysis compares ciphertext symbol frequencies with known language statistics. It is useful against historical substitution ciphers, while modern secure ciphers avoid such direct correlations.

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Cryptography

Index of coincidence

重合指数

重合指数估计随机抽取的两个符号相同的概率,可帮助分析历史多表密码的周期和语言分布;短样本的估计波动很大。

The index of coincidence estimates the probability that two sampled symbols match. It can help analyze historical polyalphabetic ciphers, but estimates from short samples vary substantially.

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Cryptography

Kasiski examination

Kasiski 检验

Kasiski 检验通过重复密文片段的间距寻找重复密钥的可能周期。间距因子的统计提示需要进一步验证,不能单独确定密钥。

Kasiski examination studies distances between repeated ciphertext fragments to suggest periods of repeating keys. Common distance factors provide clues, not a complete determination of the key.

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Cryptography

Feistel cipher

Feistel 网络

Feistel 网络把分组分为两部分,通过轮函数与交换构建可逆变换;轮函数本身不必可逆,安全性依赖具体设计和轮数。

A Feistel network splits a block into halves and combines round functions with swaps to obtain an invertible transform. Round functions need not be invertible; security depends on the design.

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Cryptography

Substitution–permutation network

代换置换网络

代换置换网络交替执行非线性代换和线性混合,使输入影响逐轮扩散到输出。组件存在并不保证安全,还需足够轮数和密码分析。

A substitution–permutation network alternates nonlinear substitution and linear mixing to spread input influence across a block. Its security still depends on round counts and cryptanalytic resistance.

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Cryptography

Avalanche effect

雪崩效应

雪崩效应描述输入改变少量比特时输出出现广泛变化的现象。单个样例约一半位改变并不是算法安全性的充分证明。

The avalanche effect describes widespread output changes after a small input change. Observing about half the bits change in a single example is not sufficient evidence of cryptographic security.

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Cryptography

Confusion and diffusion

混淆与扩散

混淆使密钥和密文之间的关系复杂,扩散将明文统计影响分散到多个密文位置。两者是密码设计原则,而不是完整安全证明。

Confusion complicates relationships between keys and ciphertext, while diffusion spreads plaintext statistics over many output positions. These are design principles rather than complete security proofs.

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Cryptography

Block cipher mode of operation

分组密码工作模式

工作模式规定怎样用固定长度分组密码处理长消息。不同模式对随机数、填充、并行性和认证有不同要求,不能任意互换。

A block cipher mode specifies how a fixed-block cipher processes longer messages. Modes differ in nonce, padding, parallelism and authentication requirements and are not interchangeable.

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Cryptography

Electronic codebook

电子密码本模式

ECB 独立加密每个分组,同样的明文分组产生同样的密文,因此会泄露重复结构;一般不适合加密有结构的完整消息。

ECB encrypts blocks independently, so identical plaintext blocks produce identical ciphertext blocks under one key. This reveals repeated structure and makes it unsuitable for most messages.

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Cryptography

Cipher block chaining

密码分组链接模式

CBC 在加密前把当前明文与前一密文异或,第一块使用初始化向量。它本身不提供认证,填充错误处理不当可能造成预言机攻击。

CBC XORs each plaintext block with the preceding ciphertext block, starting with an initialization vector. It does not authenticate messages, and unsafe padding errors can create oracle attacks.

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Cryptography

Counter mode

计数器模式

计数器模式加密依次变化的计数块生成密钥流,再与明文异或。同一密钥下绝不能重复计数序列;该模式本身也不验证完整性。

Counter mode encrypts a sequence of counters to form a keystream that is XORed with plaintext. Counter sequences must never repeat under one key, and the mode alone provides no integrity.

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Cryptography

Galois/Counter Mode

伽罗瓦计数器模式

GCM 将计数器加密与有限域认证结合,保护密文及可选附加数据。相同密钥下重复随机数会严重破坏保密性和完整性。

GCM combines counter-mode encryption with finite-field authentication for ciphertext and optional associated data. Repeating a nonce under the same key can destroy confidentiality and integrity.

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Cryptography

Associated data

认证附加数据

附加数据由认证加密算法保护其完整性,但不进行加密,例如协议头和版本字段。接收方必须使用同样的数据完成标签验证。

Associated data is authenticated but not encrypted by an authenticated-encryption scheme, such as a protocol header. The receiver must supply the same data when verifying the authentication tag.

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Cryptography

Authentication tag

认证标签

认证标签是由密钥及受保护数据计算的短值,用于检测未经授权的修改。标签长度、验证失败处理和密钥管理都会影响安全性。

An authentication tag is a short value computed from a secret key and protected data to detect unauthorized changes. Tag length, failure handling and key management all affect security.

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Cryptography

Cryptographic nonce

密码学一次性数

Nonce 是在指定密钥和协议范围内只使用一次的值。具体算法可能要求唯一、随机或不可预测,不能把这些不同条件视为同义。

A cryptographic nonce is a value used once within a specified key or protocol scope. An algorithm may require uniqueness, randomness or unpredictability, and these requirements are not equivalent.

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Cryptography

Salt (cryptography)

密码学盐值

盐值是与口令派生输入结合的公开数据,用于减少相同口令产生相同结果和预计算攻击的收益。盐不需要保密,也不能替代强口令。

A salt is public data combined with a password-derivation input to reduce shared outputs and the value of precomputation attacks. It need not be secret and cannot compensate for weak passwords alone.

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Cryptography

Key (cryptography)

密码学密钥

密钥是选择密码变换的参数,可能为对称秘密、公钥或私钥。密钥的生成、保存、用途隔离和撤销属于系统安全的组成部分。

A cryptographic key selects a transformation and may be a symmetric secret, public key or private key. Generation, storage, purpose separation and revocation are integral to system security.

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Cryptography

Cryptographic hash function

密码学哈希

密码学哈希把任意长度输入映射到固定长度摘要,并追求原像、第二原像和碰撞抗性。普通哈希表散列函数不一定具有这些性质。

A cryptographic hash maps arbitrary-length input to a fixed-length digest while seeking preimage, second-preimage and collision resistance. Ordinary hash-table functions need not provide these properties.

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Cryptography

HMAC

哈希消息认证码

HMAC 使用密钥和哈希函数的内外两层结构生成消息认证码。它提供完整性和来源认证,但不会对消息进行加密。

HMAC combines a secret key with inner and outer applications of a hash function to produce a message authentication code. It authenticates data but does not encrypt the message.

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Cryptography

Message authentication code

消息认证码

消息认证码由共享秘密和消息计算,允许持有密钥的双方检测修改。因为双方都能生成有效码,它不提供公钥签名意义的不可否认性。

A MAC is computed from a shared secret and a message so key holders can detect alteration. Since both parties can generate valid codes, it does not provide public-signature nonrepudiation.

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Cryptography

SHA-3

SHA-3 标准

SHA-3 是基于 Keccak 海绵结构的哈希标准族。它与 SHA-2 的内部结构不同,包含多种摘要长度以及相关的可扩展输出函数。

SHA-3 is a family of standardized hashes based on the Keccak sponge construction. Its internal structure differs from SHA-2 and supports several digest sizes and related extensible-output functions.

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Cryptography

SHA-1

SHA-1 哈希

SHA-1 输出 160 位摘要,已存在实用碰撞攻击。依赖碰撞抗性的签名和证书等新系统不应继续选择它作为安全哈希。

SHA-1 produces a 160-bit digest and has practical collision attacks. New systems relying on collision resistance, including signatures and certificates, should not select it as a secure hash.

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Cryptography

MD5

MD5 哈希

MD5 输出 128 位摘要,其碰撞抗性已被破坏。它有时出现在遗留校验中,但不能作为抵抗恶意篡改的完整性或签名依据。

MD5 produces a 128-bit digest and has broken collision resistance. It may appear in legacy checksums but must not be treated as a secure basis for adversarial integrity or signatures.

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Cryptography

Extendable-output function

可扩展输出函数

可扩展输出函数在吸收消息后可按需输出不同长度的字节序列。输出越长并不意味着安全强度可以无限增长,仍受底层结构限制。

An extendable-output function absorbs a message and emits a requested number of output bytes. Increasing the output length does not increase security without bound; the construction limits its strength.

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Cryptography

PBKDF2

PBKDF2 口令派生

PBKDF2 结合口令、盐、迭代次数和伪随机函数派生密钥。迭代用于增加猜测成本,参数必须按当前硬件和应用要求设置。

PBKDF2 derives key material from a password, salt, iteration count and pseudorandom function. Iterations raise guessing cost, and parameters must reflect current hardware and application requirements.

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Cryptography

Scrypt

scrypt 口令派生

scrypt 是增加内存成本的口令派生算法,参数共同决定时间和空间需求。资源限制过低会降低抗猜测能力,过高则可能造成服务耗尽。

Scrypt is a memory-hard password derivation algorithm whose parameters determine time and memory demand. Low settings weaken guessing resistance, while excessive settings can exhaust service resources.

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This collection combines attributed Wikipedia excerpts and original SciAtlas bilingual definitions under CC BY-SA 4.0. Excerpts were extracted and shortened; machine-assisted Chinese translations are labeled. Original entries provide further reading. Language versions may differ in emphasis and do not replace standards. Concepts can appear in several disciplines; consult standards and original literature for rigorous use.

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