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On the parallel complexity of iterated multiplication in rings of algebraic integers

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Parallel and Distributed Computing Theory and Practice (CFCP 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 805))

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Abstract

The parallel complexity of iterated multiplication in an arbitrary but fixed ring of algebraic integers is studied. Boolean circuits of fan-in 2 are used. It is shown that polynomial time uniform circuits of logdepth can be constructed to solve this problem algorithmically.

Research was supported in part by the Heisenberg Programm der Deutschen Forschungsgemeinschaft, Bonn.

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Michel Cosnard Afonso Ferreira Joseph Peters

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© 1994 Springer-Verlag Berlin Heidelberg

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Waack, S. (1994). On the parallel complexity of iterated multiplication in rings of algebraic integers. In: Cosnard, M., Ferreira, A., Peters, J. (eds) Parallel and Distributed Computing Theory and Practice. CFCP 1994. Lecture Notes in Computer Science, vol 805. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58078-6_4

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  • DOI: https://doi.org/10.1007/3-540-58078-6_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58078-2

  • Online ISBN: 978-3-540-48435-6

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