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Effect of Asymmetric Error Correcting Codes in Photon Communication Systems
Tomohiko UYEMATSU Kouichi YAMAZAKI Osamu HIROTA Masao NAKAGAWA Kohichi SAKANIWA
IEICE TRANSACTIONS (1976-1990)
Publication Date: 1988/09/25
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Information Theory and Coding Theory
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In this paper, we propose to adopt the asymmetric error correcting code for photon communication systems. The asymmetric error correcting code is an binary code correcting only 10 type transition errors (asymmetric errors). We show the following advantages obtained by employing the asymmetric error correcting code:(i) the codeword error probability is smaller than that of the symmetric error correcting code. (ii) the information rate per photon is larger than that of the symmetric error correcting code. Moreover, for asymmetric error correcting codes, we obtain the lower bounds on the codeword error probability and the upper bounds on the information rate per photon. By using these bounds, we can show that some asymmetric error correcting codes are optimum for these criteria.