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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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書誌詳細
出版年:Proc Natl Acad Sci U S A
主要な著者: Chudnovsky, D. V., Chudnovsky, G. V.
フォーマット: Artigo
言語:Inglês
出版事項: National Academy of Sciences 1987
主題:
オンライン・アクセス: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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