Google source management is not open source
Google Code source management could not open source
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Of course not, Google code in the licensing agreement when the only open-source agreement is optional, so you choose the appropriate open source agreement according to the agreement must open source.
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If you want to close the source, you can pay for hosting on GitHub, there are also many paid hosting services;
or build your own server management code.
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Code.google.com you in the registration requirements to choose Open Source agreement, so he must be open source can be put, if you do not want open source you buy a virtual space to put it, and now the Huawei Network disk can be put.
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The answer to your question is: No.
https://bitbucket.org/here can be free to put the code is not public, if it is 5 users below.
Nothing else is free. It's usually not expensive, like GitHub.