is this code good? can be better?

Question

Please check if this piece of code if good or could be better if yes then how and why?

 I think its purpose is pretty obvious so I will skip this part. The only thing I can think of is using while instead of for. Anything else can be done better or more efficient way?

 

public static string GetUniqueName(List<string> existedNames, string name)
{
    name = Regex.Replace(name, @" \([0-9]+\)$", "");

    if (existedNames.Any(n => n == name) == false)
        return name;

    for (int j = 0; j < 1000; j++)
    {
        var newName = name + " (" + j + ")";
        if (existedNames.Any(n => n == newName) == false)
        {
            return newName;
        }
    }

    return "";
}