The spectrum of optimal strong partially balanced designs with block size five

We shall refer to a strong partially balanced design SPBD(v,b,k;@l,0) whose b is the maximum number of blocks in all SPBD(v,b,k;@l,0), as an optimal strong partially balanced design, briefly OSPBD(v,k,@l). The author in paper (Discrete Math. 279 (2004) 173) investigated the existence of OSPBD(v,5,1) and gave the spectra of OSPBD(v,5,1) for v=0,1,3(mod4). In this article we shall investigate the existence of OSPBD(v,5,1) and give the spectrum of OSPBD(v,5,1) for the remaining case v=2(mod4).

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