Titlebook: Selected Unsolved Problems in Coding Theory; David Joyner,Jon-Lark Kim Textbook 2011 Springer Science+Business Media, LLC 2011 Assmus–Matt

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hypnotic

Textbook 2011er science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting problems that have resisted solution by some of the most prominent mathematicians of r

arrogant

Background on Information Theory and Coding Theory,l of information theory and error-correcting block codes is introduced. The basic example of the Hamming [7,4,3] code is presented in detail..What is ironic is that even in basic background issues, coding theory has interesting open questions. For example, for a given length and dimension, which cod

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Palpitation

Kittens, Mathematical Blackjack, and Combinatorial Codes,ttempts to address these types of questions. (The books by Assmus and Key (Designs and Codes. Cambridge University Press, Cambridge, .) and Conway and Sloane (Sphere Packings, Lattices and Groups, 3rd edn. Springer, Berlin, .) do into more detail in these matters and are highly recommended.).This ch

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PLE

Background on Information Theory and Coding Theory,ironic is that even in basic background issues, coding theory has interesting open questions. For example, for a given length and dimension, which code is the best 2-error-correcting code? Another example: see Manin’s theorem 19 and the closely related Conjecture 22 below.

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