论文信息 - On Golay polynomial pairs

On Golay polynomial pairs

In this article, we study Golay polynomial pairs, a notion arising in various fields such as optics, engineering, combinatorics, and Fourier analysis.

Michel Kervaire | Shalom Eliahou | Bahman Saffari

[1] S. Jauregui. Complementary sequences of length 26 (Corresp.) , 1962, IRE Trans. Inf. Theory.

[2] M. Golay. Static multislit spectrometry and its application to the panoramic display of infrared spectra. , 1951, Journal of the Optical Society of America.

[3] Michel Kervaire,et al. A new restriction on the lengths of golay complementary sequences , 1990, J. Comb. Theory A.

[4] M. Golay. Multi-slit spectrometry. , 1949, Journal of the Optical Society of America.

[5] Chin Chong Tseng. Signal Multiplexing in Surface-Wave Delay Lines Using Orthogonal Pairs of Golay's Complementary Sequences , 1971, IEEE Transactions on Sonics and Ultrasonics.

[6] Richard J. Turyn,et al. Hadamard Matrices, Baumert-Hall Units, Four-Symbol Sequences, Pulse Compression, and Surface Wave Encodings , 1974, J. Comb. Theory A.

[7] C. Yang. A composition theorem for -codes , 1983 .

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

[9] Richard J. Turyn,et al. Ambiguity functions of complementary sequences (Corresp.) , 1963, IEEE Trans. Inf. Theory.

[10] Robert L. Frank,et al. Polyphase codes with good nonperiodic correlation properties , 1963, IEEE Trans. Inf. Theory.

[11] C. H. Yang. On Composition of Four-Symbol δ-Codes and Hadamard Matrices , 1989 .

[12] C.-C. TSENG,et al. Complementary sets of sequences , 1972, IEEE Trans. Inf. Theory.

[13] C. Yang. A Composition Theorem for δ-Codes , 1983 .