@article{I. Mazurkov_V.Sokolov_V. Tsevukh_2017, title={Synthesis Method for Families of Constant Amplitude Correcting Codes Based on an Arbitrary Bent-Square}, volume={9}, url={https://jtec.utem.edu.my/jtec/article/view/1305}, abstractNote={One of the significant disadvantages of MCCDMA (Multi Code-Code Division Multiple Access) technology is a high PAPR (Peak-to-Average Power Ratio) values of used signals in such telecommunication systems. The most modern and effective solution to this problem is the C-codes based on bent-sequences. However, C-codes introduce significant redundancy in communication systems, which consumes only to reduce the signals PAPR value. In this paper, we developed a method for the synthesis of C-codes with error-correction properties on the basis of an arbitrary Agievich bent-square. To build a C-code with the specified distance properties, we used the proposed sets of semidyadic permutations. Structural properties of built C-codes allow the use of simplified procedures for coding and decoding. In this case, for length N = 256  and PAPR value κ = 1 , the cardinalities of constructed C-codes are in the range J = 512...10321920 for the code distances d = 128...64.<span style="font-size: 10.0pt; mso-bidi-font-size: 11.0pt; font-family: ’Times New Roman’,serif; mso-fareast-font-family: Calibri; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;" lang="EN-US">One of the significant disadvantages of MC-CDMA (Multi Code-Code Division Multiple Access) technology is a high PAPR (Peak-to-Average Power Ratio) values of used signals in such telecommunication systems. The most modern and effective solution to this problem is the C-codes based on bent-sequences. However, C-codes introduce significant redundancy in communication systems, which consumes only to reduce the signals PAPR value. In this paper, we developed a method for the synthesis of C-codes with error-correction properties on the basis of an arbitrary Agievich bent-square. To build a C-code with the specified distance properties, we used the proposed sets of semidyadic permutations. Structural properties of built C-codes allow the use of simplified procedures for coding and decoding. In this case, for length <span style="position: relative; top: 3.0pt; mso-text-raise: -3.0pt;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style=’width:34.8pt; height:11.7pt’ o:ole=""> <v:imagedata src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image001.wmz" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif" alt="" width="46" height="16" /><!--[endif]--></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1558150947"> </o:OLEObject> </xml><![endif]--> and PAPR value <span style="position: relative; top: 2.0pt; mso-text-raise: -2.0pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1026" type="#_x0000_t75" style=’width:21.9pt;height:10.8pt’ o:ole=""> <v:imagedata src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image003.wmz" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif" alt="" width="29" height="14" /><!--[endif]--></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1558150948"> </o:OLEObject> </xml><![endif]-->, the cardinalities of constructed C-codes are in the range <span style="position: relative; top: 3.0pt; mso-text-raise: -3.0pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1027" type="#_x0000_t75" style=’width:75.6pt;height:11.7pt’ o:ole=""> <v:imagedata src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image005.wmz" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif" alt="" width="101" height="16" /><!--[endif]--></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1558150949"> </o:OLEObject> </xml><![endif]--> for the code distances <span style="position: relative; top: 3.0pt; mso-text-raise: -3.0pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1028" type="#_x0000_t75" style=’width:46.5pt;height:11.7pt’ o:ole=""> <v:imagedata src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image007.wmz" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="file:///C:/Users/MOHDSH~1/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif" alt="" width="62" height="16" /><!--[endif]--></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1558150950"> </o:OLEObject> </xml><![endif]--><em>.</em></span>}, number={2}, journal={Journal of Telecommunication, Electronic and Computer Engineering (JTEC)}, author={I. Mazurkov, Michael and V.Sokolov, Artem and V. Tsevukh, Igor}, year={2017}, month={Apr.}, pages={99–103} }