Creating an Epub file with a Zip library

HI All,

I am trying to zip up an Epub file i have made using c#

Things I have tried

• Dot Net Zip http://dotnetzip.codeplex.com/
- DotNetZip works but epubcheck fails the resulting file (**see edit below)
• ZipStorer zipstorer.codeplex.com
- creates an epub file that passes validation but the file won't open in Adobe Digital Editions
• 7 zip
- Я не пробовал это с помощью С #, но когда я заархивирую файл с помощью этого интерфейса, он сообщает мне, что имя файла mimetype имеет длину 9 и должно быть 8

In all cases the mimetype file is the first file added to the archive and is not compressed

The Epub validator that I'am using is epubcheck http://code.google.com/p/epubcheck/

if anyone has succesfully zipped an epub file with one of these libraries please let me know how or if anyone has zipped an epub file successfully with any other open source zipping api that would also work.

EDIT

DotNetZip works, see accepted answer below.