More Golay sequences

Davis and Jedwab's construction of Golay sequences as Reed Muller codewords was believed to generate possibly all Golay sequences over Z/sub 2//sup h/ of length 2/sup m/. From exhaustive search, 1024 quaternary (h=2) Golay sequences of length 16 (m=4) are found which are not within Davis and Jedwab's construction. A table of 16 characteristic sequences is presented from which all 1024 Golay sequences can be reconstructed. The pairing information and the PAPR's of associated OFDM signals are given.

[1]  Kenneth G. Paterson,et al.  Generalized Reed-Muller codes and power control in OFDM modulation , 1998, IEEE Trans. Inf. Theory.

[2]  T. Wilkinson,et al.  Block coding scheme for reduction of peak to mean envelope power ratio of multicarrier transmission schemes , 1994 .

[3]  M. Parker.  Constabent properties of Golay-Davis-Jedwab sequences , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[4]  James A. Davis,et al.  Peak-to-mean power control in OFDM, Golay complementary sequences and Reed-Muller codes , 1998, Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252).

[5]  Branislav M. Popovic,et al.  Synthesis of power efficient multitone signals with flat amplitude spectrum , 1991, IEEE Trans. Commun..

[6]  Marcel J. E. Golay,et al.  Complementary series , 1961, IRE Trans. Inf. Theory.