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Unique factorization in Cayley arithmetics and cryptology
Published online by Cambridge University Press: 18 May 2009
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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:
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- Copyright © Glasgow Mathematical Journal Trust 1991