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Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

Robert Granger

This paper describes an extremely efficient squaring operation in the so-called ‘cyclotomic subgroup’ of

\mathbb{F}_{q^6}

, for

q \equiv 1 \bmod{6}

. Our result arises from considering the Weil restriction of scalars of this group from

\mathbb{F}_{q^6}

...

Springer Berlin Heidelberg2010

Formally real field

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Grid-Aware Real-Time Control of Electric Vehicles

Robust Real-Time Control of Power Grids in the Presence of Communication Network Non-Idealities

Robust Real-Time Control of Power Grids in the Presence of Communication Network Non-Idealities

Coherent generation of symmetry-forbidden phonons by light-induced electron-phonon interactions in magnetite

Resilient Synchrophasor Networks for the Real-Time Monitoring, Protection and Control of Power Grids

Hardware-in-the-loop Validation of the Grid Explicit Congestion Notification Mechanism for Primary Voltage Control in Active Distribution Networks

Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

Density functional theory with finite electric field

Grid-Aware Real-Time Control of Electric Vehicles

Robust Real-Time Control of Power Grids in the Presence of Communication Network Non-Idealities

Robust Real-Time Control of Power Grids in the Presence of Communication Network Non-Idealities

Coherent generation of symmetry-forbidden phonons by light-induced electron-phonon interactions in magnetite

Resilient Synchrophasor Networks for the Real-Time Monitoring, Protection and Control of Power Grids

Hardware-in-the-loop Validation of the Grid Explicit Congestion Notification Mechanism for Primary Voltage Control in Active Distribution Networks

Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

Density functional theory with finite electric field