'Ary code' presentation slideshows

Lecture 16 Perfect Codes and the Sphere-Packing Condition (Section 4.5)

Lecture 16 Perfect Codes and the Sphere-Packing Condition (Section 4.5). Theory of Information. Spheres in Z n r. Definition Let x be a string of length n over an r- ary code, and let ? be a nonnegative

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Bounds on Code Length

Bounds on Code Length. Theorem: Let l ? 1 , l ? 2 , . . . , l ? m be optimal codeword lengths for a source distribution p and a D-ary alphabet, and let L ? be the associated expected length of an optimal code. Then

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