It looks like the scarf was made horizontally. So, however long you want the scarf that is how many stitches you cast on, knit the stripes for as wide as you want them switching between blue and red to create the stripes. Then add the fringe and patch and or logo after the scarf is completed. By the by the scarf looks approx. 10 garter stitches wide and I would say you probably need a needle 32" or 29" long.
Try PMing Nonny to see if she wouldn't mind giving you more details on making the scarf.