• “Briefly and simply, assurance work makes a user or a creditor more confident that the system works as intended without flaws, without surprises, even in the presence of malice.” … “The major shortfall is absence of assurance or safety mechanisms in software.  If my car crashed as often as my computer does, I’d be dead by now.”

    Brian Snow, Former Technical Director of the US National Security Agency (NSA), "We need Assurance", AusCERT 2008

  • “It's not good enough to have a system where everyone (using the system) must be trusted, it must also be made robust against insiders!”

    Robert Morris, former Chief Scientist of the US National Security Agency (NSA), National Computer Security Center, "Crypto '95 invited talks by R. Morris and A. Shamir", 1995

  • "Even a relatively small quantum computer, one that had a few tens of thousands of qubits, could consider so many different values at once that it would be able to break all known [ed: RSA, D&H, ECC, AES-128] codes commonly used for secure Internet communication.”

    Prof Seth Lloyd of MIT, MIT Review 2008

  • "History has taught us: never underestimate the amount of money, time, and effort someone will expend to thwart a security system. It's always better to assume the worst. Assume your adversaries are better than they are. Assume science and technology will soon be able to do things they cannot yet. Give yourself a margin for error. Give yourself more security than you need today. When the unexpected happens, you'll be glad you did."

    Bruce Schneier, "Why Cryptography Is Harder Than It Looks", 1997
  • "There is a good chance that large quantum computers can be built within the next 20 years.  This would be a nightmare for IT security if there are no fully developed, implemented, and standardized post-quantum signature schemes."

    Prof. Johannes Buchmann, et al, “Post-Quantum Signatures”, Oct 2004, Technische Universität Darmstadt

  • “When will we be secure? Nobody knows for sure – but it cannot happen before commercial security products and services possess not only enough functionality to satisfy customers’ stated needs, but also sufficient assurance of quality, reliability, safety, and appropriateness for use. Such assurances are lacking in most of today’s commercial security products and services.”

    Brian Snow, Former Technical Director of the US National Security Agency (NSA), "We need Assurance", 2005

  • “Business now relies on information infrastructures that are interlinked and interdependent… The way in which these hidden interdependencies pervade our everyday lives is staggering and, in some cases, may go unchecked for many years until an incident occurs that revels the true nature of the interdependences' impact.”

    The British Government’s Technology Strategy Board, 2008
  • “The time needed to factor an RSA integer is the same order as the time needed to use that same integer as modulus for a single RSA encryption.   In other words, it takes no more time to break RSA on a quantum computer (up to a multiplicative constant) than to use it legitimately on a classical computer.”

    Professor Gilles Brassard,  "Quantum Information Processing: The Good, the Bad and the Ugly", 1997

  • “Consider the use of smart cards ... for especially critical functions.  Although more costly than software, when properly implemented the assurance gain is great.  The form-factor is not as important as the existence of an isolated processor and address space for assured operations – an ‘Island of Security,’ if you will.  Such devices can communicate with each other through secure protocols and provide a web of security connecting secure nodes located across a sea of insecurity in the global net.”

    Brian Snow, Former Technical Director of the US National Security Agency (NSA), "We need assurance!", 1999-2008

  • “We are a cyber nation. The U.S. information infrastructure--including telecommunications and computer networks and systems and the data that reside on them--is critical to virtually every aspect of modern life. This information infrastructure is increasingly vulnerable to exploitation, disruption, and destruction by a growing array of adversaries.”

    The National Coordination Office (NCO) for Networking Information Technology Research and Development (NITRD), Federal Register: December 30, 2008 (Volume 73, Number 250).

  • In the next five years we will counter many 'hacker' attacks but we will not be safe from Nation States and other large entities

    Brian Snow, Former Technical Director of the US National Security Agency (NSA), "We need assurance!", 1999-2008

Resources Security bibliography Asymmetric key exchanges - classical bibliography: Rivest-Shamir-Adleman (RSA)
bibliography: Rivest-Shamir-Adleman (RSA)
Inventors: Ronald Rivest, Ami Shamir, Leonard Adleman
Organisation:
Date: 1977
Keywords: public key cryptography, asymmetric encryption, digital signatures
Electronic Publication: US Patent 4,405,829
Description: RSA is an asymmetric cryptographic algorithm used for key exchanges and for digitally signing electronic messages. RSA is an asymmetric algorithm because it relies on two keys, a public key and a private key, that are mathematically related. The security of RSA is based on two mathematical problems: the problem of factoring large numbers and the RSA problem. RSA requires longer key lengths than symmetric key primitives to achieve an equivalent security rating. As of 2009 a key length of 2048 is generally considered sufficient for basic security against classical computer attacks.
Attacks:

It is widely conjectured that RSA can be broken using a code-breaking quantum computer at approximately the same speed as RSA can be run on a classical computer using Peter Shor's quantum integer factoring algorithm.

For example data encrypted using RSA-2048 recorded today may be rapidly decrypted by a party with a code-breaking quantum computer.

See:
Citation:
Related work: Diffie-Hellman-Merkle (D&H) algorithm

Last Updated on Sunday, 04 January 2009 10:44
 
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