V. P. Maslov, V. E. Nazaikinskii, “Remark on the Notion of Optimal Data Compression in Information Theory”, Mat. Zametki, 2016, Volume 99, Issue 4,Pages <nobr>616

Papers published in the English version of the journal
Brief Communications

Remark on the Notion of Optimal Data Compression in Information Theory

V. P. Maslov^ab, V. E. Nazaikinskii^cb

^a National Research University Higher School of Economics, Moscow, Russia
^b Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
^c Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow District, Russia

Abstract: We continue the train of thought initiated in [A. S. Cherny and V. P. Maslov, Theory Probab. Appl. 48 (3), 447–464 (2004)], [V. P. Maslov, Math. Notes 93 (3–4), 451–459 (2013)], and [V. P. Maslov, Math. Notes 93 (5–6), 881–889 (2013)] and suggest to optimize encoding of data packets in asynchronous networks with the use of the entropy corresponding to the Bose–Einstein distribution.

Keywords: information, Kullback–Leibler divergence, Shannon entropy, source coding, data compression, Bose–Einstein distribution.

Received: 03.02.2016