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That appears to be just a simple drop stitch scarf. Most of them are done width wise rather than lengthwise, but it's easy enough to change by just casting on what you need for length. You'll need do do a larger wrap to get the length of the drops. Here's the basic idea.
http://www.curlypurly.com/pdf/yoscarf.pdf
Do you knit at all? It would be good to practice the stitches first.