RT Journal Article SR Electronic T1 High-parity vertical Reed-Solomon codes for long GNSS high-accuracy messages JF NAVIGATION: Journal of the Institute of Navigation JO NAVIGATION FD Institute of Navigation SP 365 OP 378 DO 10.1002/navi.357 VO 67 IS 2 A1 Ignacio Fernández-Hernández A1 Tommaso Senni A1 Daniele Borio A1 Giovanni Vecchione YR 2020 UL https://navi.ion.org/content/67/2/365.abstract AB This paper presents in detail an outer-coding proposal for long GNSS messages disseminated by multiple satellites. The proposal minimizes the message reception time, or Time To Retrieve Data (TTRD), over a page erasure channel in most types of environments and visibility conditions. A message M consisting of k pages is encoded into a set C consisting of n pages, such that when any subset C′ of C of k pages is correctly received, the message can be decoded. The scheme vertically encodes each page symbol in a separate high-parity Reed-Solomon code and allocates different parts of it to different satellites. The scheme has been designed for the Galileo High Accuracy Service (HAS), but it can be used for longer messages and other constellations. The performance results show TTRDs on the order of few seconds, at a very low decoding complexity for the receiver.