TY - JOUR T1 - Binary Sequences of Even Period with 5-Level Autocorrelation and Their Variations for Optimum Odd Autocorrelation AU - Kim, Gangsan AU - Song, Hong-Yeop JO - The Journal of Korean Institute of Communications and Information Sciences PY - 2025 DA - 2025/1/1 DO - 10.7840/kics.2025.50.8.1207 KW - Binary sequences KW - Cyclic relative difference sets KW - Favourable autocorrelation AB - In this paper, we propose a balanced binary sequence of period 2u for some even values of u with 5-level autocorrelation from a cyclic relative difference set with parameters (u,2,u-1,u/2-1). Furthermore, we identify its half-period as those having an optimum odd autocorrelation, and we found that changing one specific bit of this binary sequence results in an almost perfect sequence. Various relations of these with some previous constructions by others are discussed.