Design a very simple logo

Dear designers,

I am working on a web-based software project and would like to have a nice logo to go with it. These are the requirements:

- Minimalist design.
- At least 2 concepts based on the description that I'll give.
- Delivery in vectorial format.

I will provide the app name, nature of the project and palette (which can be modified). If anything else must be specified, please contact me and I'll add it to this description.
Turnaround time is ~ 1 week but this is not an urgent project.

Thanks,
José