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IEICE TRANSACTIONS on Fundamentals

Another Optimal Binary Representation of Mosaic Floorplans

Katsuhisa YAMANAKA, Shin-ichi NAKANO

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Summary :

Recently a compact code of mosaic floorplans with ƒ inner face was proposed by He. The length of the code is 3ƒ-3 bits and asymptotically optimal. In this paper, we propose a new code of mosaic floorplans with ƒ inner faces including k boundary faces. The length of our code is at most $3f - rac{k}{2} - 1$ bits. Hence our code is shorter than or equal to the code by He, except for few small floorplans with k=ƒ≤3. Coding and decoding can be done in O(ƒ) time.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.6 pp.1223-1224
Publication Date
2015/06/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E98.A.1223
Type of Manuscript
Special Section LETTER (Special Section on Discrete Mathematics and Its Applications)
Category

Authors

Katsuhisa YAMANAKA
  Iwate University
Shin-ichi NAKANO
  Gunma University

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