Titlebook: Cryptography for Secure Encryption; Robert G. Underwood Textbook 2022 Springer Nature Switzerland AG 2022 automatic sequences.cryptography

MIRE

ARY

Conclusions & Future Directions,In this chapter we show how public key cryptosystems can be used to create “digital” signatures.

crockery

Location Methods and Impairments,The Vernam cipher of Section . is the only cryptosystem that has perfect secrecy (Definition .), because the key is a random sequence of bits of the same length as the message (Proposition .).

lethargy

Conclusions & Future Directions,AES and other symmetric key cryptosystems are in wide use because they transmit data much faster than public key cryptosystems (e.g., RSA), but they need a shared secret key. Moreover, the Blum–Micali and Blum–Blum–Shub bit generators require both Alice and Bob to share an initial key consisting of a finite string of random bits.

现存

Conclusions & Future Directions,The Diffie–Hellman protocol uses the group . to exchange keys. Other groups can be employed in a Diffie–Hellman-type protocol. For instance, we could use an elliptic curve group.

right-atrium

Location Methods and Impairments,Let . be a field not of characteristic 2. Let .. denote the multiplicative group of non-zero elements of ..

一再遛

Information Theory and Entropy,Let . be a fixed probability space. Let . = {.., .., .., …, ..} be a finite set, and let . :  Ω → . be a random variable with distribution function .. : . → [0, 1], ..

喊叫

FACT

Algebraic Foundations: Groups,Algebraic concepts such as groups, rings, and fields are essential for the study of symmetric key and public key cryptography.

Visual-Acuity

Algebraic Foundations: Rings and Fields,In contrast to a group, a ring is a set together with two binary operations.