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Cryptosystem
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Cryptosystem : ウィキペディア英語版
Cryptosystem
In cryptography cryptosystem refers to a suite of cryptographic algorithms needed to implement a particular security service, most commonly for achieving confidentiality (encryption).
Typically, a cryptosystem consists of three algorithms: one for key generation, one for encryption, and one for decryption. The term ''cipher'' (sometimes ''cypher'') is often used to refer to a pair of algorithms, one for encryption and one for decryption. Therefore, the term "cryptosystem" is most often used when the key generation algorithm is important. For this reason, the term "cryptosystem" is commonly used to refer to public key techniques; however both "cipher" and "cryptosystem" are used for symmetric key techniques.
== Formal definition ==

Mathematically, a cryptosystem or encryption scheme can be defined as a tuple (\mathcal,\mathcal,\mathcal,\mathcal,\mathcal) with the following properties.
# \mathcal is a set called the "plaintext space". Its elements are called plaintexts.
# \mathcal is a set called the "ciphertext space". Its elements are called ciphertexts.
# \mathcal is a set called the "key space". Its elements are called keys.
# \mathcal = \ is a set of functions E_k : \mathcal \rightarrow \mathcal. Its elements are called "encryption functions".
# \mathcal = \ is a set of functions D_k : \mathcal \rightarrow \mathcal. Its elements are called "decryption functions".
For each e \in \mathcal, there is d \in \mathcal such that D_d(E_e(p)) = p for all p \in \mathcal.
Note; typically this definition is modified in order to distinguish an encryption scheme as being either a symmetric-key or public-key type of cryptosystem.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Cryptosystem」の詳細全文を読む



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