The scrypt key derivation function
The scrypt key derivation function was originally developed for use in the Tarsnap online backup system and is designed to be far more secure against hardware brute-force attacks than alternative functions such as PBKDF2 or bcrypt.
We estimate that on modern (2009) hardware, if 5 seconds are spent computing a derived key, the cost of a hardware brute-force attack against scrypt is roughly 4000 times greater than the cost of a similar attack against bcrypt (to find the same password), and 20000 times greater than a similar attack against PBKDF2.
Details of the scrypt key derivation function are given in a paper which was presented at the BSDCan'09 conference:
- Colin Percival, Stronger Key Derivation via Sequential Memory-Hard Functions, presented at BSDCan'09, May 2009.
- Conference presentation slides: PDF.
The scrypt encryption utility
A simple password-based encryption utility is available as a demonstration of the scrypt key derivation function. On modern hardware and with default parameters, the cost of cracking the password on a file encrypted by scrypt enc is approximately 100 billion times more than the cost of cracking the same password on a file encrypted by openssl enc; this means that a five-character password using scrypt is stronger than a ten-character password using openssl.
The scrypt utility can be invoked as scrypt enc infile [outfile] to encrypt data (if outfile is not specified, the encrypted data is written to the standard output), or as scrypt dec infile [outfile] to decrypt data (if outfile is not specified, the decrypted data is written to the standard output). scrypt also supports three command-line options:
- -t maxtime will instruct scrypt to spend at most maxtime seconds computing the derived encryption key from the password; for encryption, this value will determine how secure the encrypted data is, while for decryption this value is used as an upper limit (if scrypt detects that it would take too long to decrypt the data, it will exit with an error message).
- -m maxmemfrac instructs scrypt to use at most the specified fraction of the available RAM for computing the derived encryption key. For encryption, increasing this value might increase the security of the encrypted data, depending on the maxtime value; for decryption, this value is used as an upper limit and may cause scrypt to exit with an error.
- -M maxmem instructs scrypt to use at most the specified number of bytes of RAM when computing the derived encryption key.
If the encrypted data is corrupt, scrypt dec will exit with a non-zero status. However, scrypt dec may produce output before it determines that the encrypted data was corrupt, so for applications which require data to be authenticated, you must store the output of scrypt dec in a temporary location and check scrypt's exit code before using the decrypted data.
The scrypt utility has been tested on FreeBSD, NetBSD, OpenBSD, Linux (Slackware, CentOS, Gentoo, Ubuntu), Solaris, OS X, Cygwin, and GNU Hurd. To build scrypt, extract the tarball and run ./configure && make.
- scrypt version 1.1.6 source tarball
- GPG-signed SHA256 for scrypt version 1.1.6 (signature generated using Tarsnap 2009 code signing key)
In addition, scrypt is available in the OpenBSD and FreeBSD ports trees and in NetBSD pkgsrc as security/scrypt.
The scrypt key derivation function and the scrypt encryption utility are discussed on the email@example.com mailing list.