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We present a spectroscopic redshift measurement of a very bright Lyman breakgalaxy at z=7.7302+-0.0006 using Keck/MOSFIRE. The source was pre-selectedphotometrically in the EGS field as a robust z~8 candidate with H=25.0 magbased on optical non-detections and a very red Spitzer/IRAC [3.6]-[4.5]broad-band color driven by high equivalent width [OIII]+Hbeta line emission.The Lyalpha line is reliably detected at 6.1 sigma and shows an asymmetricprofile as expected for a galaxy embedded in a relatively neutralinter-galactic medium near the Planck peak of cosmic reionization. The line hasa rest-frame equivalent width of EW0=21+-4 A and is extended withV_FWHM=360+90-70 km/s. The source is perhaps the brightest and most massive z~8Lyman break galaxy in the full CANDELS and BoRG/HIPPIES surveys, havingassembled already 10^(9.9+-0.2) M_sol of stars at only 650 Myr after the BigBang. The spectroscopic redshift measurement sets a new redshift record forgalaxies. This enables reliable constraints on the stellar mass, star-formationrate, formation epoch, as well as combined [OIII]+Hbeta line equivalent widths.The redshift confirms that the IRAC [4.5] photometry is very likely dominatedby line emission with EW0(OIII+Hbeta)= 720-150+180 A. This detection thus addsto the evidence that extreme rest-frame optical emission lines are a ubiquitousfeature of early galaxies promising very efficient spectroscopic follow-up inthe future with infrared spectroscopy using JWST and, later, ELTs.

A Spectroscopic Redshift Measurement for a Luminous Lyman Break Galaxy at z=7.730 using Keck/MOSFIRE