ALMA twenty-six arcmin(2) survey of GOODS-S at one millimeter (ASAGAO):Source catalog and number counts

We present the survey design, data reduction, construction of images, and source catalog of the Atacama Large Millimeter/submillimeter Array (ALMA) twenty-six arcmin(2) survey of GOODS-S at one millimeter (ASAGAO). ASAGAO is a deep (1 sigma depth similar to 61 mu Jy beam(-1) for a 250 k lambda-tapered map with a synthesized beam size of 0.'' 51 x 0.'' 45) and wide area (26 arcmin(2)) survey on a contiguous field at 1.2 mm. By combining with ALMA archival data in the GOODS-South field, we obtained a deeper map in the same region (1 sigma size similar to 30 mu Jy beam(-1) for a deep region with a 250 k lambda-taper, and a synthesized beam size of 0.'' 59 x 0.'' 53), providing the largest sample of sources (25 sources at >= 5.0 sigma, 45 sources at >= 4.5 sigma) among ALMA blank-field surveys to date. The number counts shows that 52(-8)(+11)% of the extragalactic background light at 1.2 mm is resolved into discrete sources at S-1.2 mm > 135 mu Jy. We create infrared (IR) luminosity functions (LFs) in the redshift range of z = 1-3 from the ASAGAO sources with K-s-band counterparts, and constrain the faintest luminosity of the LF at 2.0 <z <3.0. The LFs are consistent with previous results based on other ALMA and SCUBA-2 observations, which suggest a positive luminosity evolution and negative density evolution with increasing redshift. We find that obscured star-formation of sources with IR luminosities of log (L-IR/L-circle dot) greater than or similar to 11.8 account for approximate to 60%-90% of the z similar to 2 cosmic star-formation rate density.