Generation of relative prime numbers for use in cryptography

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United States of America Patent

PATENT NO 8958547
APP PUB NO 20130179682A1
SERIAL NO

13344844

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Abstract

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The disclosed technology generates two relative prime numbers and, then, using the relative prime numbers converts a super-increasing (SI) knapsack into a non-super-increasing (NSI) knapsack. The NSI knapsack becomes a public key and the corresponding SI knapsack, along with the two relative prime numbers, becomes a private key. A message is encrypted using a subset S of the private key that totals a number N. The message, the public key and the number N are transmitted to a recipient, who knows the value of the two relative prime numbers. The recipient uses the relative prime numbers to convert the public key into the private key and, then, generates the subset S by solving the private key with respect to the number N. Using the subset, the message is decrypted.

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Patent Owner(s)

  • INTERNATIONAL BUSINESS MACHINES CORPORATION

International Classification(s)

Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Ramachandran, Arun Coimbatore, IN 40 553
Ramachandran, Puvichakravarthy Nagamalai, IN 3 15
Velusamy, Lakshmanan TamilNadu, IN 28 93

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