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Optimal binary one-ended codes

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1 Author(s)
Kukorelly, Z. ; Inf. Coding Lab., Univ. of California, San Diego, CA, USA

Binary prefix-free codes in which all codewords end with a "1" have been introduced by Berger and Yeung (1990). A recursive method is given here for the construction of all optimal "1"-ended codes with n codewords. It is shown that the set of codes obtained by the construction contains only optimal codes. We also compute recursively the number of essentially different optimal "1"-ended codes with n codewords and show that their number grows faster than any polynomial in n

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Information Theory, IEEE Transactions on  (Volume:48 ,  Issue: 7 )