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We describe the data processing of the Survey on extragALactic magnetiSm withSOFIA (SALSA Legacy Program). This first data release presents 33% (51.34h outof 155.7h, including overheads) of the total awarded time taken from January2020 to December 2021. Our observations were performed using the newlyimplemented on-the-fly mapping (OTFMAP) technique in the polarimetric mode. Wepresent the pipeline steps to obtain homogeneously reduced high-level dataproducts of polarimetric maps of galaxies for use in scientific analysis. Ourapproach has a general design and can be applied to sources smaller than thefield-of-view of the HAWC+ array in any given band. We estimate that the OTFMAPpolarimetric mode offers a reduction of observing overheads by a factor 2.34,and an improvement in sensitivity by a factor 1.80 when compared to previouslyobtained polarimetric observations using the chopping and nodding mode. TheOTFMAP is a significant optimization of the polarimetric mode of HAWC+ as itultimately reduces the cost of operations of SOFIA/HAWC+ by increasing thescience collected per hour of observation up to an overall factor of 2.49. TheOTFMAP polarimetric mode is the standard observing strategy of SALSA. Theresults and quantitative analysis of this first data release are presented inPapers IV and V of the series.

Extragalactic magnetism with SOFIA (SALSA Legacy Program) -- III: First data release and on-the-fly polarization mapping characterization