A new binary sequence family with low correlation and large size

For odd n=2l+1 and an integer /spl rho/ with 1/spl les//spl rho//spl les/l, a new family S/sub o/(/spl rho/) of binary sequences of period 2/sup n/-1 is constructed. For a given /spl rho/, S/sub o/(/spl rho/) has maximum correlation 1+2/sup n+2/spl rho/-1/2/, family size 2/sup n/spl rho//, and maxim...

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Veröffentlicht in:	IEEE transactions on information theory 2006-04, Vol.52 (4), p.1624-1636
Hauptverfasser:	Yu, N Y, Gong, G
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Autocorrelation Binary codes Binary sequences Circuit properties Coding, codes Construction Correlation Correlation analysis Cryptography Digital circuits Electric, optical and optoelectronic circuits Electronic circuits Electronics Error correction codes Exact sciences and technology Family of binary sequences Gold Information theory Information, signal and communications theory Integer programming Integers Interference large family size linear span Multiaccess communication sequences with low correlation Signal and communications theory Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments)
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Beschreibung
Zusammenfassung:	For odd n=2l+1 and an integer /spl rho/ with 1/spl les//spl rho//spl les/l, a new family S/sub o/(/spl rho/) of binary sequences of period 2/sup n/-1 is constructed. For a given /spl rho/, S/sub o/(/spl rho/) has maximum correlation 1+2/sup n+2/spl rho/-1/2/, family size 2/sup n/spl rho//, and maximum linear span n(n+1)/2. Similarly, a new family of S/sub e/(/spl rho/) of binary sequences of period 2/sup n/-1 is also presented for even n=2l and an integer /spl rho/ with 1/spl les//spl rho/
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2006.871062