To achieve good Back - Links, the search engines should view your site as an 'authority site'. If your Audience is satisfied with your writing and if they are looking forward to more then your Page will look like an 'authority site'. Websites mention and point to, or refer to, articles and videos on the authority site.
If you get people to have your URL on their sites then you stand a good chance with Search Engines. You need to keep in mind that Search engines need to view your Partner site as healthy. This means that you are not go rampant asking people to have your URL on their Page. You need to check their credibility, repeat audience and general traffic etc. In case their site is not of good standing then you have a very disadvantage situation here.