Get permutation of array, and take out only array with specified length

GetPermutations.cs

IEnumerable<IList<Type>> GetPermutations(IList<Type> arraySource, int takeArrayLength)
{
    // Short circuit process if take array length is 0
    if (takeArrayLength == 0)
    {
        yield return Array.Empty<Type>();
        yield break;
    }

    var uniqueValues = new List<string>();
    var array = arraySource.OrderBy(x => x.Name).ToList();

    while (array.Count > 0)
    {
        var i = array.Count - 1;
        var j = array.Count - 1;
        var k = array.Count - 1;

        while (i > 0 && string.CompareOrdinal(array[i - 1].Name, array[i].Name) >= 0)
        {
            i--;
        }

        if (i <= 0)
        {
            break;
        }

        while (string.CompareOrdinal(array[j].Name, array[i - 1].Name) <= 0)
        {
            j--;
        }

        var temp = array[i - 1];
        array[i - 1] = array[j];
        array[j] = temp;

        k = array.Count - 1;
        while (i < k)
        {
            temp = array[i];
            array[i] = array[k];
            array[k] = temp;
            i++;
            k--;
        }

        var value = new Type[takeArrayLength];
        array.CopyTo(0, value, 0, takeArrayLength);

        var uniqueValue = string.Join(",", value.Select(x => x.Name));
        if (uniqueValues.Contains(uniqueValue)) continue;
        uniqueValues.Add(uniqueValue);

        yield return value;
    }
}