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14

A merit factor of around six seems to, arguably, be the highest achievable value. Hodeln

and Jensen in [21] even went as far as making the conjecture “that asymptotically the maximum

value of the merit factor is and hence that offset Legendre sequences are optimal.” There has

been some promising work done to show that merit factors slightly greater than six exists in

binary sequences [22] but they are still far from the theoretical largest merit factor, found by

Golay in [18], of approximately 12.32.

2.4 Summary

Factors like autocorrelation, cross correlation, and merit factor should be taken into

consideration when developing a communication system that requires the use of binary PN

sequences. PN sequences are still far from reaching the theoretical maximum that was once

proposed. However, as discussed in the next section, SESS binary spreading system does not

use PN sequences, it uses the randomness of the data being sent. Therefore each transmission

would have different auto correlations and merit factors based of the data that is sent. There it

does not apply to these complex factors by which conventional spreading system are judged.

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