You can use C# with VS code by installing this extension https://marketplace.visualstudio.com/items?itemName=ms-dotnettools.csharp
There is also a docker extension for vs code
https://code.visualstudio.com/docs/containers/overview
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Is it possible to use vs code c# extension in conjunction with docker dotnet image ?
I don't want to install dotnet SDK locally nor visual studio.
You can use C# with VS code by installing this extension https://marketplace.visualstudio.com/items?itemName=ms-dotnettools.csharp
There is also a docker extension for vs code
https://code.visualstudio.com/docs/containers/overview
If you rather use a Docker container to host the developer bits, you can use VSCode Remote to connect to that container,
https://code.visualstudio.com/docs/remote/containers
That does not only work for .NET, but also Python and others.