Error S3925 : Update this implementation of 'ISerializable' to conform to the recommended serialization pattern

Question

More specifically, when the exception contains custom objects which may or may not themselves be serializable.

Take this example:

public class MyException : Exception
{
    private readonly string resourceName;
    private readonly IList<string> validationErrors;

    public MyException(string resourceName, IList<string> validationErrors)
    {
        this.resourceName = resourceName;
        this.validationErrors = validationErrors;
    }

    public string ResourceName
    {
        get { return this.resourceName; }
    }

    public IList<string> ValidationErrors
    {
        get { return this.validationErrors; }
    }
}

If this Exception is serialized and de-serialized, the two custom properties (ResourceName and ValidationErrors) will not be preserved. The properties will return null.

Is there a common code pattern for implementing serialization for custom exception?