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A field is a set of numbers with an addition/subtraction operations as well as multiplication/division operation. The result of adding/subtracting or multiplying/dividing any two numbers of the field has to be in the set as well. A finite field contains only finitely many elements. A finite field is also called Galois Field in honor of Evariste Galois. The advantage of a finite-field arithmetic is that it can be done exactly by computer (error-correcting code). (*) Evariste Galois 1811 (Bourg-La-Reine, near Paris) - 1832 (Paris)