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1 Journal of Theoretical and Applied Computer Science

1 2014

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An algorithm for multiplication of trigintaduonions

Cariow A., Cariowa G.

Journal of Theoretical and Applied Computer Science

2014

Vol. 8, nr 1

50--75

In this paper we introduce efficient algorithm for the multiplication of trigintaduonions. The direct multiplication of two trigintaduonions requires 1024 real multiplications and 992 real additions. We show how to compute a trigintaduonion product with 498 real multiplications and 943 real additions. During synthesis of the discussed algorithm we use a fact that trigintaduonion multiplication may be represented by a vector-matrix product. Such representation provides a possibility to discover repeating elements in the matrix structure and to use specific properties of their mutual placement to decrease the number of real multiplications needed to compute the product of two trigintaduonions.