moduli (5)  Linux Manuals
moduli: DiffieHellman moduli
NAME
moduli  DiffieHellman moduli
DESCRIPTION
The /etc/ssh/moduli file contains prime numbers and generators for use by sshd(8) in the DiffieHellman Group Exchange key exchange method.New moduli may be generated with sshkeygen1 using a twostep process. An initial candidate generation pass, using sshkeygen G calculates numbers that are likely to be useful. A second primality testing pass, using sshkeygen T provides a high degree of assurance that the numbers are prime and are safe for use in DiffieHellman operations by sshd(8). This moduli format is used as the output from each pass.
The file consists of newlineseparated records, one per modulus, containing seven spaceseparated fields. These fields are as follows:
 timestamp
 The time that the modulus was last processed as YYYYMMDDHHMMSS.
 type

Decimal number specifying the internal structure of the prime modulus.
Supported types are:
 0
 Unknown, not tested.
 2
 "Safe" prime; (p1)/2 is also prime.
 4
 Sophie Germain; 2p+1 is also prime.
Moduli candidates initially produced by sshkeygen1 are Sophie Germain primes (type 4). Further primality testing with sshkeygen1 produces safe prime moduli (type 2) that are ready for use in sshd(8). Other types are not used by OpenSSH.
 tests

Decimal number indicating the type of primality tests that the number
has been subjected to represented as a bitmask of the following values:
 0x00
 Not tested.
 0x01
 Composite number  not prime.
 0x02
 Sieve of Eratosthenes.
 0x04
 Probabilistic MillerRabin primality tests.
The sshkeygen1 moduli candidate generation uses the Sieve of Eratosthenes (flag 0x02). Subsequent sshkeygen1 primality tests are MillerRabin tests (flag 0x04).
 trials
 Decimal number indicating the number of primality trials that have been performed on the modulus.
 size
 Decimal number indicating the size of the prime in bits.
 generator
 The recommended generator for use with this modulus (hexadecimal).
 modulus
 The modulus itself in hexadecimal.
When performing DiffieHellman Group Exchange, sshd(8) first estimates the size of the modulus required to produce enough DiffieHellman output to sufficiently key the selected symmetric cipher. sshd(8) then randomly selects a modulus from Fa /etc/ssh/moduli that best meets the size requirement.
STANDARDS
 M. Friedl N. Provos W. Simpson March 2006 RFC 4419 DiffieHellman Group Exchange for the Secure Shell (SSH) Transport Layer Protocol 2006