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ARS (AES-based Random Stream)

Counter-based PRNG using full AES round function with simplified Weyl-sequence key schedule. Designed for parallel computing with cryptographic-quality randomness. Part of the Random123 library by D. E. Shaw Research.

Properties

Property	Value
Category	Random Number Generators
Sub-category	Counter-Based PRNG
Security status	🎓 Educational Only
Complexity	Advanced
Inventor	John K. Salmon, Mark A. Moraes, Ron O. Dror, David E. Shaw
Year	2011
Origin	🇺🇸 United States
Source	algorithms/random/ars.js

Parameters

Parameter	Supported values
Key sizes	16 bytes (128 bits)

Capabilities

Flag	Value
IsDeterministic	Yes
IsCryptographicallySecure	No
IsCounterBased	Yes

Security

Status: 🎓 Educational Only

No vulnerabilities are recorded for this implementation.

Documentation

• Original Paper: Parallel Random Numbers: As Easy as 1, 2, 3 (SC11, 2011)
• Random123 Library Documentation
• Random123 GitHub Repository
• ARS Header Reference

References

• NIST FIPS 197: AES Specification
• AES Round Functions Explanation

Test vectors

3 vectors ship with this algorithm and run in the test suite. Byte values are hexadecimal.

Vector 1 — ARS4x32-10: Counter=0, Key=0 - Random123 kat_vectors

Field	Value
key	00000000000000000000000000000000
rounds	10
outputSize	16
input	00000000000000000000000000000000
expected	19ee738def016450e4dbc2130d9cbe0c

Vector 2 — ARS4x32-10: Counter=π digits, Key=π digits - Random123 kat_vectors

Field	Value
key	223809a4d0319f2998fa2e08896c4eec
rounds	10
outputSize	16
input	886a3f24d308a3852e8a191344737003
expected	d6e716a574ad5783ecb3595bf3ff6387

Vector 3 — ARS4x32-10: Counter=0xFFFFFFFF (all), Key=mixed - Random123 kat_vectors

Field	Value
key	ffffffffffffffff0000000000000000
rounds	10
outputSize	16
input	ffffffffffffffffffffffffffffffff
expected	b14337bb5155639ffc87bceca97894a1

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