The main advantages of polar codes are the ability to achieve bandwidth, binary symmetric channel of communication, high adaptation to the end-user and acceptable level of correcting capabilities. In the based lexicographic approach is the method of clustering of the space of allowed codewords. Technology of division clusters or lexicographic ordering of the space of allowed codewords of error-correcting binary block codes implements non-algebraic approach to the processing of code vectors of the receiver, allowing to reduce the computation cost and to provide energy gain.
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A. A. Gladkikh, D. V. Mishin, N. Y. Chilikhin, "Improving efficiency of fiber optic communication systems with the use of lexicographic decoding of polar codes," Proc. SPIE 10774, Optical Technologies in Telecommunications 2017, 1077402 (6 June 2018);