prime field

prime field

[′prīm ′fēld]
(mathematics)
For a field K with multiplicative unit element e, the field consisting of elements of the form (ne)(me) -1, where m ≠ 0 and n are integers.
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References in periodicals archive ?
Our previous work [33] already showed the differences between the efficiency of prime field based and field of characteristic 2 based elliptic curve systems in limited devices.
Dan Marshall's attempts to put Newcastle in prime field position were dashed when his kick went out on the full, Takulua having broken from his own 22 thanks to turnover ball in a half low on clear-cut chances.
The visitors took a 10-6 half-time lead when Price's brilliant positional kick handed them prime field position, Andy Unsworth applying the finish from close range.
The visitors assumed a 10-6 half-time lead when a 40-20 handed them prime field position, Andy Unsworth applying the finish.
Let k be a field which is finitely generated over its prime field.
Again Ireland looked to have settled back into the game but an error gave the Knights possession in prime field position and Tom Burgess smashed his way over, Gale landing his second conversion.
2q]) and the scalar multiplication defined on the prime field ([F.
If they catch hint of an ambush they may continue to visit a prime field, but they will likely switch their pattern, visit it later or become nocturnal.
A Zach Arsenault rush put Nashoba in prime field position.
With UCLA's offense stalling because of penalties, and unable to take advantage of prime field position time and again, Breazell made the big play by taking an inside screen pass, breaking a tackle, and splitting the Beavers' secondary for a 69-yard touchdown.
Horsman's indiscretion saw Wales lose the one-man advantage they had at the time with Percy Montgomery in the bin and also concede prime field position.
They looked to be heading for another defeat in London, trailing 20-18 with the clock ticking down, when the Broncos pressed the self-destruct button by giving away two successive penalties to hand the visitors prime field position.