IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
On the Codeword Length Distribution of T-Codes
Ulrich SPEIDELT. Aaron GULLIVER
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Keywords: T-code
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2012 Volume E95.A Issue 5 Pages 909-917

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Abstract

In 2008, the authors and Makwakwa demonstrated a close link between variable-length T-codes and cyclic equivalence classes, which introduces a limit on the the number of codewords of a particular length that a T-code can have. This paper presents a collection of new results on the codeword length distribution of T-codes based on this link. In particular, the average and average weighted codeword lengths are investigated for systematic T-codes. Several results are presented on subsets of T-code codewords for which the aforementioned limit is reached, and asymptotic expressions are derived for the variance and the coefficient of variation of codeword length distributions.

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© 2012 The Institute of Electronics, Information and Communication Engineers
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