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Fully Homomorphic Encryption on Octonion Ring

by Yagisawa Masahiro
Save 12% Save 12%
Current price ₹2,029.00
Original price ₹2,300.00
Original price ₹2,300.00
Original price ₹2,300.00
(-12%)
₹2,029.00
Current price ₹2,029.00

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Book cover type: Paperback
  • ISBN13: 9783659773914
  • Binding: Paperback
  • Subject: N/A
  • Publisher: LAP Lambert Academic Publishing
  • Publisher Imprint: LAP Lambert Academic Publishing
  • Publication Date:
  • Pages: 80
  • Original Price: GBP 18.18
  • Language: English
  • Edition: N/A
  • Item Weight: 127 grams
  • BISAC Subject(s): General

Gentry's bootstrapping technique is still the only known method for obtaining fully homomorphic encryption. I propose a new fully homomorphic encryption scheme on non-associative octonion ring over finite field without bootstrapping technique. The security of the proposed fully homomorphic encryption scheme is based on computational difficulty to solve the multivariate algebraic equations of high degree while the almost all multivariate cryptosystems proposed until now are based on the quadratic equations avoiding the explosion of the coefficients. Because proposed fully homomorphic encryption scheme is based on multivariate algebraic equations with high degree or too many variables, it is against the Gröbner basis attack. The key size of this system and complexity for enciphering/ deciphering become to be small enough to handle.

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