Synthesis of orthogonal nonlinear cyclic codes with double cyclic shifts
Abstract
Orthogonal cyclic codes are defined as a system of double cyclic shifts of a double code sequence with the length N = 2(sup k + 1). Algorithms of forming orthogonal cyclic codes are obtained using the discrete Fourier transform of the sequence periodic correlation function and family powers of such codes are determined for different values of N. These powers exceed much family powers of the linear M-sequence systems.
- Publication:
-
Radiotekhnika i Elektronika
- Pub Date:
- May 1994
- Bibcode:
- 1994RaEl...39..807B
- Keywords:
-
- Algorithms;
- Binary Codes;
- Coding;
- Fourier Transformation;
- Information Theory;
- Signal Processing;
- Correlation;
- Digital Electronics;
- Periodic Functions;
- Polynomials;
- Communications and Radar