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Algebraic complexities and algebraic curves over finite fields

We consider the problem of minimal (multiplicative) complexity of polynomial multiplication and multiplication in finite extensions of fields. For infinite fields minimal complexities are known [Winograd, S. (1977) Math. Syst. Theory 10, 169-180]. We prove lower and upper bounds on minimal complexit...

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Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Chudnovsky, D. V., Chudnovsky, G. V.
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1987
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Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC304516/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593816/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.84.7.1739
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