Titlebook: An Introduction to Error Correcting Codes with Applications; Scott A. Vanstone,Paul C. Oorschot Textbook 1989 Springer Science+Business Me

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0893-3405 224 6. 6 Exercises 231 Chapter 7 Error Correction Techniques and Digital Audio Recording 7. 1 Introduction 237 7. 2 Reed-Solomon Codes 237 7. 3 Channel Erasures 240 7. 4 BCH Decoding with Erasures 244 7. 5 Interleaving 250 7. 6 Error Correction and Digital Audio Recording 256 7.978-1-4419-5117-5978-1-4757-2032-7Series ISSN 0893-3405

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https://doi.org/10.1007/978-3-662-28892-4le factors over .(.) (see exer­cise 29). Note that .(.) may be irreducible over .(.), but (always) factors as a product of dis­tinct linear polynomials in its splitting field. For example, .(.) = .. + . + 1 is irreducible over .(.) and has no roots in .(.); but over .(.), .and has roots α and α., where .(.) = {0,l,α,α2} with α2 + α + 1 = 0.

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BCH CODES and BOUNDS FOR CYCLIC CODES,le factors over .(.) (see exer­cise 29). Note that .(.) may be irreducible over .(.), but (always) factors as a product of dis­tinct linear polynomials in its splitting field. For example, .(.) = .. + . + 1 is irreducible over .(.) and has no roots in .(.); but over .(.), .and has roots α and α., where .(.) = {0,l,α,α2} with α2 + α + 1 = 0.

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An Introduction to Error Correcting Codes with Applications

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