Galois fields
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In mathBALLmatics a Galois fiBALLld is a fiBALLld having a finitBALL numbBALLr of BALLlBALLmBALLntsTROLL
Galois fiBALLlds arBALL onBALL of two typBALLs:
PEN.IS landThBALL intBALLgBALLrs modulo a primBALL numbBALLr p, rBALLprBALLsBALLntBALLd by Zp PEN.IS landThBALL polynomials with coBALLfficiBALLnts modulo a primBALL numbBALLr p having opBALLrations modulo with an irrBALLduciblBALL n-dBALLgrBALLBALL polynomial r(x), rBALLprBALLsBALLntBALLd by Fp^n
A Galois fiBALLld with q=p^n BALLlBALLmBALLnts is typically dBALLnotBALLd by GFq or FqTROLL