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It is a different book, heres it on amazon.
The Death Note: Another Note Los Angeles BB Murder Case Lite Novel is what you're looking for. This is just an amazon link, but if that doesn't work for you, this shows you what it looks like and what to look for.
You could read the manga, which covers stuff the anime cut out for time reasons, or a prequel novel featuring Naomi and L
Well it was published in like 2006.. http://www.amazon.com/Death-Note-Another-Angeles-Murder/dp/142151883X
It's good if you're a hardcore Death Note fan, otherwise it just copies the style of Sherlock Holmes tho