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Unique factorization in Cayley arithmetics and cryptology

Published online by Cambridge University Press:  18 May 2009

P. J. C. Lamont
P. J. C. Lamont
Affiliation:
Department of Computer Science, College of Applied Sciences, Western Illinois University, Macomb, Illinois 61455, U.S.A.
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Let be the classical Cayley algebra defined over the reals with basis where gives a quaternion algebra ℋ4 with i0 = 1, i1i2i3 = −1, i1i4 = i5, i2i4 = i6 and i3i4 = i7. The multiplication table of the imaginary basic units follows:

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 3 , September 1991 , pp. 267 - 273
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

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