ASDA – Carterton – Opening Hours & Store Details ASDA Supermarket is easily accessible on Brize Norton Road, 0.09 miles south from the centre of Carterton (by Gateway Primary School and Raf Brize Norton). This store is a positive addition to the local businesses of North Hinksey, Oxford, Bibury, Carterton Park, Carterton Town Centre, Arlington and Headington. Here you can find some significant information about ASDA Carterton, including the store hours, local map and customer experience.