Embodiment of the invention relate to enhancing entropy. One embodiment relates to entropy amplification in pseudo-random numbers using remote sources.
Securing data through encryption/decryption methods, especially, when transmitting it over insecure channels, from cryptographic attacks is widely known. Traditionally, a method of symmetric encryption was used to secure the information between two users. The method of symmetric encryption required creating a single secret key known only to the two users. However, the secrecy was only guaranteed to the extent the two users kept the key secret. Additionally, the method of prior exchange of the key made the system even more cumbersome. To make the system more secure and reliable, the public-key system was introduced.
In a public-key system, also known as the asymmetric or two-key system, each user's key has a public and private component. The public component generates public encryption, while the private component generates private decryption of the encrypted text. This makes the system much more secure, because it is difficult to break an encryption, unless the corresponding private key is also known.
A typical public-key system uses a pseudo-random number generator (PRNG) to generate random numbers through a deterministic process. Consequently, the security of such system is dependent upon having a strong pseudo-random number generation (PRNG) algorithm. A PRNG uses a random internal state and a process called stirring to produce a stream of bits that satisfy various statistical tests of cryptographic randomness. The internal state is initialized with a random value called a seed. The seed must have a high level of entropy to ensure that the stream of bits are sufficiently hard to guess. Existing methods of gathering entropy use information gathered from a local system to seed the PRNG. If the seed gathered from the local system does not have sufficient entropy, an attacker can guess the output of the PRNG with relative ease, and break the system. This is especially true in constrained environments such as the Java Virtual Machine.
The appended claims set forth the features of the invention with particularity. The invention, together with its advantages, may be best understood from the following detailed description taken in conjunction with the accompanying drawings of which:
A method and apparatus are described for enhancing entropy in a pseudo-random number generator using a remote source. Broadly stated, embodiments of the present invention allows the stirring of a pseudo-random number generator using both the local seeding information and, for additional security, remote seeding information generated by remote entropy servers.
According to one embodiment, one or more remote entropy servers generate seeding information, which is securely gathered along with the local seeding information. An attacker can easily break into a system using only the local seeding information, and predict the state of a PRNG. The use of the remote seeding information adds to the randomness of the PRNG making a system much more secure from cryptographic attacks. Protecting systems from cryptographic attacks by enhancing entropy using remote sources can secure all types of transactions, such as emailing, baking transactions, and communication between applications.
In the following description, for the purposes of explanation, numerous specific details are set forth in order to provide a thorough understanding of the present invention. It will be apparent, however, to one skilled in the art that the present invention may be practiced without some of these specific details. In other instances, well-known structures and devices are shown in block diagram form.
The present invention includes various steps, which will be described below. The steps of the present invention may be performed by hardware components or may be embodied in machine-executable instructions, which may be used to cause a general-purpose or special-purpose processor or logic circuits programmed with the instructions to perform the steps. Alternatively, the steps may be performed by a combination of hardware and software.
The present invention may be provided as a computer program product, which may include a machine-readable medium having stored thereon instructions which may be used to program a computer (or other electronic devices) to perform a process according to the present invention. The machine-readable medium may include, but is not limited to, floppy diskettes, optical disks, Compact-Disk Read Only Memories (CD-ROMs), and magneto-optical disks, ROMs, Random Access Memories (RAMs), Erasable Programmable ROMs (EPROMs), Electrically EPROMs (EEPROMs), magnetic or optical cards, flash memory, or other type of media/machine-readable medium suitable for storing electronic instructions. Moreover, the present invention may also be downloaded as a computer program product, wherein the program may be transferred from a remote computer to a requesting computer by way of data signals embodied in a carrier wave or other propagation medium via a communication link (e.g., a modem or network connection).
A data storage device 107 such as a magnetic disk or optical disc and its corresponding drive may also be coupled to computer system 100 for storing information and instructions. Computer system 100 can also be coupled via bus 101 to a display device 121, such as a cathode ray tube (CRT) or Liquid Crystal Display (LCD), for displaying information to an end user. Typically, an alphanumeric input device 122, including alphanumeric and other keys, may be coupled to bus 101 for communicating information and/or command selections to processor 102. Another type of user input device is cursor control 123, such as a mouse, a trackball, or cursor direction keys for communicating direction information and command selections to processor 102 and for controlling cursor movement on display 121.
A communication device 125 is also coupled to bus 101. The communication device 125 may include a modem, a network interface card, or other well-known interface devices, such as those used for coupling to Ethernet, token ring, or other types of physical attachment for purposes of providing a communication link to support a local or wide area network, for example. In this manner, the computer system 100 may be coupled to a number of clients and/or servers via a conventional network infrastructure, such as a company's Intranet and/or the Internet, for example.
It is appreciated that a lesser or more equipped computer system than the example described above may be desirable for certain implementations. Therefore, the configuration of computer system 100 will vary from implementation to implementation depending upon numerous factors, such as price constraints, performance requirements, technological improvements, and/or other circumstances.
It should be noted that, while the steps described herein may be performed under the control of a programmed processor, such as processor 102, in alternative embodiments, the steps may be fully or partially implemented by any programmable or hard-coded logic, such as Field Programmable Gate Arrays (FPGAs), Transistor Transistor Logic (TTL), or Application Specific Integrated Circuits (ASICs), for example. Additionally, the method of the present invention may be performed by any combination of programmed general-purpose computer components and/or custom hardware components. Therefore, nothing disclosed herein should be construed as limiting the present invention to a particular embodiment wherein the recited steps are performed by a specific combination of hardware components.
Connected to this network 210 is a local system 220. In addition to the local system 220, one or more remote independent systems 230 and 240 are connected to the network 210. As illustrated, the remote independent systems 230 and 240 include entropy servers 230 and 240. The number and arrangement of this equipment may vary depending on the application.
In contrast, as illustrated by
Data is most often exchanged between parties encrypted with a symmetric key, and the symmetric key is encrypted with the public key of the receiving party and sent with the encrypted data. Thus, it has the performance benefits of symmetric encryption, with the advantages of public-key encryption. Encrypting a symmetric key with the recipient's public key is called a key exchange. The entire process of encrypting data with a symmetric key, encrypting the symmetric key, and sending encrypted data and encrypted symmetric key to the recipient is often referred to as “encrypting with the recipient's public key.” It will be used this way for the rest of the description.
Generally, a PRNG uses a random internal state and the stirring process to produce a stream of bits that satisfy various statistical tests of cryptographic randomness. The internal state is initialized with a random value called a seed. The seed must have a high level of entropy to ensure that the stream of bits is sufficiently hard to guess. Typically methods of gathering entropy include using seeding information gathered 410 from the local system 405 to seed and stir the PRNG 425. However, unless the seeding information gathered 410 from the local system 405 has sufficient entropy, an attacker can guess the output of the PRNG 415 with relative ease, and break into the system.
To provide further security, according to one embodiment of the present invention, additional seeding information is obtained 420 from one or more remote entropy servers 430 and 445, using a secured link 460. The remote entropy servers 430 and 445, which comprise random state machines 435 and 450, generate the additional seeding information 440 and 455. The process of securely obtaining seeding information 420 from one or more remote entropy servers 430 and 445 is repeated for redundant entropy servers. The additional seeding information generated 440 and 455, by the remote entropy servers 430 and 445, is gathered 420, in addition to the local seeding information 410, for the stirring process 425.
The stirring process 425 involves receiving and mixing of the gathered local seeding information 410, and remote seeding information 420. Using the combination of local and remote seeding information provides the unpredictable state that a system must have in order to fully secure the information. The security of a system depends on having a cryptographically secure PRNG algorithm. It is easy for an attacker to predict the state of a PRNG if only the local seeding information is utilized. However, with the stirring process 425 using local and remote seeding information 425, the much-needed entropy is amplified, making the system extremely secure, and difficult to break into for the attacker. Thus, the stirring process 425 of the present invention provides security against cryptographic breaks when two applications communicate with each other, or even when information is sent from one computer to another over the Internet.
According to one embodiment of the present invention, secure data collection from entropy servers 420 is done using a privacy protocol, such as a Secure Sockets Layer (SSL) or Transport Layer Security (TLS). This prevents an attacker from getting a copy of the data supplied by the entropy server and reproducing the PRNG state on his machine. If the exchange is not done securely, its value could be greatly diminished. Additionally, privacy protocols, such as SSL and TLS, themselves require unpredictable random numbers to be secured. Thus, in environments requiring remote entropy servers, the privacy protocols may not be acceptable for securing the exchange, and therefore, an alternative may be required.
According to one embodiment of the present invention, an entropy server, which is a machine or piece of software, maintains a constantly updated random state pool that is used to supply hosts with seeding information that can be stirred into their PRNG state value. An attacker is more likely to be able to negatively influence the initial state seeding, and succeed when only one entropy server is used. Hence, according to one embodiment of the present invention, a local host may use more than one entropy server so that the attacker cannot influence the initial state seed by compromising a single entropy server.
According to one embodiment of the present invention, on the host-side 600, a temporary asymmetric key pair is generated 605. The temporary public key created 605 on the host-side 600 is then encrypted with a remote entropy server's public key 610. The encrypted public key is then sent to the remote entropy server 650. As discussed above, in a public-key system there is a corresponding private key to a public key. Generally, the private key is used to decrypt the corresponding public key's encrypted information. Thus, on the server-side 650, the host's temporary public key is then decrypted using the server's private key 620.
The server then generates random data 625, and encrypts it using the host's temporary public key 630. The encrypted random data is sent to the host 635. The random data is received on the host-side 600, and then decrypted using the host's temporary private key 640. Finally, the result of the decryption of the random data is used to stir the internal state of the local PRNG 645.
According to one embodiment of the present invention, random states from one or more external sources (e.g., redundant entropy servers) are added when gathering seeding information. This method provides additional security, because an attacker who is attempting to perform a cryptographic attack is likely to fail in predicting the random states from multiple external sources. In other words, the method allows the state of multiple independent systems to securely contribute to the strength of the local PRNG output. Thus, eliminating cryptographic breaks into a system by having strong and remote sources of randomness.
The server then generates random data in processing block 725, and encrypts it using the host's temporary public key in processing block 730. The encrypted random data is then sent to the host in processing block 735. The random data is received by the host, and then decrypted using the host's temporary private key in processing block 740. Finally, the result of the decryption of the random data is used to stir the internal state of the local PRNG in processing block 745.
This Application is divisional of application Ser. No. 09/822,548, entitled “Enhancing Entropy in Pseudo-Random Number Generators Using Remote Sources”, filed Mar. 30, 2001.
Number | Date | Country | |
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Parent | 09822548 | Mar 2001 | US |
Child | 11013572 | Dec 2004 | US |