What type of finding must be included in the judgment for an inmate to be ineligible for parole according to certain offenses?

The correct choice involves an affirmative finding, which is crucial in determining an inmate's eligibility for parole, particularly regarding specific offenses. In the context of parole regulations, an affirmative finding refers to a legal determination made by a court that substantiates certain factors related to the offense committed by the inmate. For instance, this may relate to the nature or severity of the crime, such as if it involved violence, gang activity, or if it was committed against a vulnerable population.

When such an affirmative finding is documented in the judgment, it directly influences an inmate's parole eligibility, typically extending the duration of their incarceration. This legal mechanism ensures that inmates who pose a higher risk to society or who have committed particular severe offenses are not granted parole lightly.

The other options do not carry the legal weight needed for this specific context. An increase in sentence length may relate to the overall time served but does not directly affect eligibility criteria in the same way an affirmative finding does. A mitigating circumstance might be considered during sentencing, but it would not render an inmate ineligible for parole. Similarly, a voluntary confession might be beneficial for plea deals or during trials but is unrelated to the specific legal restrictions affecting parole eligibility.