There are no specific data on the transmissibility of late recurring warts, BP, and similar problems. You can assume you are infectious for your sex partners for the HPV types detected, except for partners who have previously been infected with the same types or have been vaccinated. However, in your previous thread a couple weeks ago, it seems your only partner is your wife and she has had the HPV vaccine -- correct? If so, you can safely assume she has been repeatedly exposed to your HPV infections, certainly since the warts/BP appeared and perhaps for years before that. And since she has been vaccinated, she is immune to the HPV types that you have that also are included in the vaccine (HPV16,18, 31, 33, 45 and 52). Accordingly, she is at little or no risk and at this time there is no point in abstaining sexually and no need to alter your sexual practices together. 

If you are likely to have other partners until your BP is gone, it would be a courtesy to advise them of possible risk. But all in all, you probably can entirely ignore the potential for sexual transmission of your HPV infections.

I hope these comments help a bit. Let me know if anything isn't clear.

HHH, MD