TY - GEN

T1 - A new proof of an inequality between two secrecy exponents

AU - Ukyo, Michiwaki

AU - Jitsumatsu, Yutaka

N1 - Funding Information:
This work was supported in part by JSPS KAKENHI Grant Numbers JP16K000333, JP17K00308 and JP18H03291.
Publisher Copyright:
© 2018 IEICE.

PY - 2018/7/2

Y1 - 2018/7/2

N2 - Hayashi and Matsumoto gave two lower bounds for the secrecy exponent for wiretap channels in 2011 and 2016. They proved that the latter exponent function is greater than or equal to the former one for any positive rate, input distribution and conditional probability of wiretapper's channel. In this paper, we give a new and simple proof of the inequality between the two exponent functions. To prove the inequality we use non-negativity of Kullback-Leibler distance together with a lemma that was introduced by Arimoto to derive a computation algorithm for error and correct decoding probability exponent for discrete memoryless channels.

AB - Hayashi and Matsumoto gave two lower bounds for the secrecy exponent for wiretap channels in 2011 and 2016. They proved that the latter exponent function is greater than or equal to the former one for any positive rate, input distribution and conditional probability of wiretapper's channel. In this paper, we give a new and simple proof of the inequality between the two exponent functions. To prove the inequality we use non-negativity of Kullback-Leibler distance together with a lemma that was introduced by Arimoto to derive a computation algorithm for error and correct decoding probability exponent for discrete memoryless channels.

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U2 - 10.23919/ISITA.2018.8664377

DO - 10.23919/ISITA.2018.8664377

M3 - Conference contribution

AN - SCOPUS:85063896117

T3 - Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018

SP - 747

EP - 751

BT - Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 15th International Symposium on Information Theory and Its Applications, ISITA 2018

Y2 - 28 October 2018 through 31 October 2018

ER -