Textbook rsa
Textbook RSA is an unpadded RSA method that directly applies modular exponentiation to a message representative for encryption or signing.
Hacking Cryptography
The schoolbook RSA signature scheme is an unpadded textbook RSA signature method that applies direct modular exponentiation to a message representative.
- How it is used
- Uses direct RSA exponentiation to teach encryption, signatures, implementation pitfalls, and concrete attacks.
- How deep it goes
- Descends from equations to Go implementations and attack tests, while deferring secure padding internals to later algorithms.
- Examples
- Uses equal plaintexts, fixed points, a forged signature, concrete modular values, and a Go test recovering a decrypted timestamp.
- What you can do after
- Diagnose deterministic outputs, unpadded signature forgery, and short-exponent weaknesses, then select padding and safer key-generation practices.
Real-World Cryptography
Textbook RSA is the naive RSA encryption scheme that directly applies modular exponentiation without security-preserving padding.
- How it is used
- Explains RSA's core encryption and decryption operations before introducing safer standardized schemes.
- How deep it goes
- Works through modular exponentiation and a toy example, then stops short of a complete implementation and secure padding design.
- Examples
- Uses m = 2 with e = 2 and p = 5, small-message guessing, and PKCS#1 v1.5 padding.
- What you can do after
- Evaluate naive RSA constructions, recognize deterministic-message attacks, and distinguish raw exponentiation from padded encryption.
Related concepts
- RSAkind of · RSA is a public-key cryptosystem based on the computational difficulty of factoring large composite integers and supporting encryption and digital signatures.
- private keyuses · A private key is the secret component of an asymmetric cryptographic key pair used by its holder for operations such as authentication, decryption, or digital signing.
- public exponentuses · A public exponent is the exponent component of an RSA public key used for modular exponentiation during encryption or signature verification.
- digital signaturekind of · A digital signature is cryptographic data generated with a private key and verified with corresponding public information to authenticate data or its signer and detect alteration.
- paddingused by · Padding is the addition of extra space, values, or data around or within a structure to satisfy size, alignment, layout, or processing requirements.
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