Abstract
We give two applications of finite fields: to construct multiple-error-correcting codes, and to construct sets of pairwise orthogonal Latin squares. The codes are widely used, from coding satellite transmission data to recording compact disks; the Latin squares are used in statistical design of experiments, for example, in agricultural research.
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© 1995 Springer Science+Business Media New York
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Childs, L.N. (1995). Some Applications of Finite Fields. In: A Concrete Introduction to Higher Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8702-0_29
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DOI: https://doi.org/10.1007/978-1-4419-8702-0_29
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98999-0
Online ISBN: 978-1-4419-8702-0
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