You will need to compile another library into your code, since I doubt that compression algorithms other than zlib are available as part of the standard Android libraries.
The 7-zip algorithm you are referring to is actually called LZMA, which you can get in the form of a library in the LZMA SDK . The source code is available in both Java and C. If you can associate C code with your application, this would be preferable for speed.
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