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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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Bibliografiset tiedot
Julkaisussa:Proc Natl Acad Sci U S A
Päätekijät: Chudnovsky, D. V., Chudnovsky, G. V.
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: National Academy of Sciences 1987
Aiheet:
Linkit: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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