Method and apparatus for cryptographically secure algebraic key establishment protocols based on monoids
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United States of America Patent
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Dec 10, 2002
Grant Date -
Jan 3, 2002
app pub date -
Feb 26, 1998
filing date -
Feb 26, 1998
priority date (Note) -
Expired
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Abstract
The present invention is a method and apparatus for providing cryptographically secure algebraic key establishment protocols that use monoids and groups possessing certain algorithmic properties. Special fast algorithms associated with certain monoids and groups are used to optimize both key agreement and key transport protocols. The cryptographic security of the algorithms is based on the difficulty of solving the conjugacy problem in groups and other known hard algebraic problems. Braid groups and their associated algorithms are the basis for highly rapid key agreement and key transport protocols which employ modest computational resources.
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