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Why the Barker sequence bit length does not exceed thirteen?

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The Institution of Electronics and Telecommunication Engineers

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Abstract

It is shown that binary Barker sequences, which are polarity reversed coded rectangular pulses of N bits with an autocorrelation fundion of peak value N and side lobe level unity or less, do not exist for N greater than 13.

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Journal of the Institution of Electronics and Telecommunications Engineering, 1988, Vol.34, p461

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1988 IETE