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Title Consideration of Conditions of Extended Binary Memoryless Sources Under Which Distinct Ternary Huffman Codes Are Constructed (in Japanese)
Authors Nozomi Miya 、Takahiro Yoshida 、Hajime Jinushi
Released Year 2018
Format Conference
Category Source coding
Jounal Name
Jounal Page pp.347–352
Published Year 2018
Published Month 12
Abstract
(English)
¥emph{Distinct Huffman codes}, i.e., distinct codeword sets obtained by Huffman's algorithm for a ternary alphabet are constructed for the $n$-th degree extended binary memoryless sources whose symbols belong to $¥{ 0, 1¥}^n$ if $(n, p)$ varies, where $p ¥ge 1 / 2$ denotes the probability that symbol 0 occurs. For a fixed $n = 2, 3, ¥dots$, sufficient conditions with respect to $p$ constructing a part of all distinct Huffman codes have been shown. Necessary conditions with respect to $p$, constructing such Huffman codes have also been shown. In addition, we discuss the case when sufficient conditions are or are not equivalent to necessary conditions.
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