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We present a catalog of 25 definite and 11 probable strong galaxy-galaxygravitational lens systems with redshifts 0.4 \lesssim z \lesssim 0.7,discovered spectroscopically by the presence of higher redshift emission-lineswithin the Baryon Oscillation Spectroscopic Survey (BOSS) of luminous galaxies,and confirmed with high-resolution Hubble Space Telescope (HST) images of 44candidates. Our survey extends the methodology of the Sloan Lens ACS Survey(SLACS: Bolton et al. 2006; 2008) to higher redshift. We describe the detailsof the BOSS spectroscopic candidate detections, our HST Adanced Camera forSurveys (ACS) image processing and analysis methods, and our stronggravitational lens modeling procedure. We report BOSS spectroscopic parametersand ACS photometric parameters for all candidates, and mass-distributionparameters for the best-fit singular isothermal ellipsoid models of definitelenses. Our sample to date was selected using only the first six months of BOSSsurvey-quality spectroscopic data. The full 5-year BOSS database should producea sample of several hundred strong galaxy-galaxy lenses and in combination withSLACS lenses at lower redshift, strongly constrain the redshift evolution ofthe structure of elliptical, bulge-dominated galaxies as a function ofluminosity, stellar mass, and rest-frame color, thereby providing a powerfultest for competing theories of galaxy formation and evolution.

The BOSS Emission-Line Lens Survey (BELLS). I. A large spectroscopically selected sample of Lens Galaxies at redshift ~ 0.5