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O(log(n)) parallel time finite field inversion

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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4684-0047-2openalex-snapshot
p-adic Numbers, p-adic Analysis, and Zeta-Functions
inferredcites →https://doi.org/10.1007/bf02579205openalex-snapshot
A fast parallel algorithm to compute the rank of a matrix over an arbitrary field
inferredcites →https://doi.org/10.1016/0020-0190(84)90018-8openalex-snapshot
On computing the determinant in small parallel time using a small number of processors
inferredcites →https://doi.org/10.1016/0022-0000(81)90038-6openalex-snapshot
On uniform circuit complexity
inferredcites →https://doi.org/10.1016/s0019-9958(85)80041-3openalex-snapshot
A taxonomy of problems with fast parallel algorithms
inferredcites →https://doi.org/10.1049/el:19720017openalex-snapshot
Two-phase m.n.o.s. charge-coupled device
inferredcites →https://doi.org/10.1049/el:19720378openalex-snapshot
Inverse of elements of a Galois field
inferredcites →https://doi.org/10.1137/0205040openalex-snapshot
Fast Parallel Matrix Inversion Algorithms
inferredcites →https://doi.org/10.1137/0215070openalex-snapshot
Log Depth Circuits for Division and Related Problems
inferredcites →https://doi.org/10.1142/9407openalex-snapshot
Algebraic Coding Theory
inferredcites →https://doi.org/10.1145/12130.12164openalex-snapshot
A fast parallel algorithm to compute the rank of a matrix over an arbitrary field

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-53414-8_40openalex-snapshot
A DIV(N) depth Boolean circuit for smooth modular inverse
inferred← citeshttps://doi.org/10.1007/bfb0029653openalex-snapshot
Computing large polynomial powers very fast in parallel
inferred← citeshttps://doi.org/10.1007/bfb0054331openalex-snapshot
The CREW PRAM complexity of modular inversion
inferred← citeshttps://doi.org/10.1007/s10958-013-1350-5openalex-snapshot
Complexity of computation in finite fields
inferred← citeshttps://doi.org/10.1016/0020-0190(91)90238-dopenalex-snapshot
A div(n) depth Boolean circuit for smooth modular inverse
inferred← citeshttps://doi.org/10.1016/0890-5401(91)90078-gopenalex-snapshot
Boolean circuits versus arithmetic circuits
inferred← citeshttps://doi.org/10.1016/b978-0-444-88071-0.50022-9openalex-snapshot
Parallel Algorithms for Shared-Memory Machines
inferred← citeshttps://doi.org/10.1016/s0747-7171(08)80028-4openalex-snapshot
Inversion in finite fields using logarithmic depth
inferred← citeshttps://doi.org/10.1070/rm1991v046n01abeh002725openalex-snapshot
On some problems in the theory of finite fields
inferred← citeshttps://doi.org/10.1137/0218066openalex-snapshot
Very Fast Parallel Polynomial Arithmetic
inferred← citeshttps://doi.org/10.1145/1872007.1872051openalex-snapshot
Galois field hardware architectures for network coding
inferred← citeshttps://doi.org/10.1515/156939206779217952openalex-snapshot
An application of the method of additive chains to inversion in finite fields
inferred← citeshttps://doi.org/10.1515/dma.2008.035openalex-snapshot
On design of circuits of logarithmic depth for inversion in finite fields
inferred← citeshttps://doi.org/10.3103/s0027132207010068openalex-snapshot
Inversion in finite fields of characteristic 2 using logarithmic depth
inferred← citeshttps://doi.org/10.4213/dm1023openalex-snapshot
О построении схем логарифмической глубины для инвертирования в конечных полях
inferred← citeshttps://doi.org/10.4213/dm80openalex-snapshot
О применении метода аддитивных цепочек к инвертированию в конечных полях
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