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This paper describes an improved mapmaking approach with respect to the oneused for the Planck High Frequency Instrument 2018 Legacy release. Thealgorithm SRoll2 better corrects the known instrumental effects that stillaffected mostly the polarized large-angular-scale data by distorting thesignal, and/or leaving residuals observable in null tests. The main systematiceffect is the nonlinear response of the onboard analog-to-digital convertorsthat was cleaned in the Planck HFI Legacy release as an empirical time-varyinglinear detector chain response which is the first-order effect. The SRoll2method fits the model parameters for higher-order effects and corrects the fulldistortion of the signal. The model parameters are fitted using theredundancies in the data by iteratively comparing the data and a model. Thepolarization efficiency uncertainties and associated errors have also beencorrected based on the redundancies in the data and their residual levelscharacterized with simulations. This paper demonstrates the effectiveness ofthe method using end-to-end simulations, and provides a measure of thesystematic effect residuals that now fall well below the detector noise level.Finally, this paper describes and characterizes the resulting SRoll2 frequencymaps using the associated simulations that are} released to the community athttp://sroll20.ias.u-psud.fr.

SRoll2: an improved mapmaking approach to reduce large-scale systematic effects in the Planck High Frequency Instrument legacy maps