G. N. Karystinos and D. A. Pados, “Binary CDMA signature sets with concurrently minimum total-squared-correlation and maximum-squared-correlation,” in Proc. IEEE - International Conference on Communications,(ICC'03 ) pp. 2500-2503, doi: 10.1109/ICC.2003.1204397
https://doi.org/10.1109/ICC.2003.1204397
We derive lower bounds on the maximum-squared-correlation (MSC) of binary antipodal signature sets for any number of signatures K and any signature length L with K ≤ L (underloaded systems). We establish the tightness of the bounds for all cases except K = L ≡ 1 (mod 4) and we prove that the minimum total-squared-correlation (TSC) binary antipodal signature sets that were recently designed are, in fact doubly optimal for underloaded systems: both their TSC and MSC are minimum.