Table 18 Comparison of Rule 90 with other cellular automata rules for cryptographic use.

From: Cellular automata based key distribution for lightweight hybrid image encryption with elliptic curve cryptography

CA Rule

Type

Cryptographic Properties

Output Pattern

Suitability for Cryptography

Rule 90

Linear

Fast, low-complexity, reversible

Predictable, symmetric

Weak if used alone; useful for lightweight key derivation

Rule 30

Nonlinear

High entropy, chaotic

Aperiodic, pseudo-random

Strong for key generation and stream cipher applications

Rule 45

Nonlinear

Moderate entropy, more chaotic than 90

Asymmetric, partially unpredictable

Moderate; better than Rule 90 alone

Rule 150

Linear

Reversible, more complex than Rule 90

Symmetric, less predictable

Weaker than Rule 30; better than Rule 90

Hybrid CA

Mixed Rules

High complexity, rule-switching enhances randomness

Fully dynamic, less predictable

Strong; suitable for secure encryption and key expansion