Addendum to further results on base sequences, disjoint complementary sequences, OD(4t; t, t, t, t) and the excess of Hadamard matrices

It is known that if there are base sequences of lengths m + p, m + p, m, m and y is a Yang number then there are T-sequences of length (2m + p)y. Let G = {g : g = 2a10b26c, a, b, c non negative integers}. We show that base sequences currently exist for p = 1 and m ∑{I, ... , 18,20,21,23,25, 29} U G. Yang numbers currently exist for y ∑ {3, 5, ... ,33,37,41,45,51,53,59,65,81, ... and 2g + 1 > 81, g ∑ G}. This means T-sequences exist for 01 = {t : t odd ≤ 59} U {s : 63 ≤ s ≤ 199,s not prime, s ≠ 183} 02 = {ym : y a Yang number, m a base sequence} 03 = {g + g' : g,g'∑ G(e.g. we may take g' = 1)} E1 = {2yp : y a Yang number and p ∑ 01 U 02 U 03 U E1. In particular we find a new SBIBD(4k2, 2k2 + k, k2 + k) for k = 43, and new Hadamard matrices with maximum known excess for n = 860 and 1204.