Genesis 5:1f mentions “the Book of the generations of Adam.” Carefully note once more: “the Book of the generations of Adam”! Yes, “the Book” — “the Book” written either by God for Adam and his descendants, or written under in-Spir-ation from God by Adam for himself and his descendants.
Continues Calvin: “Did Noah, warned by a divine judgment so memorable, neglect to transmit it to posterity?” No! Genesis 7:11f and 10:1f.
Indeed, it is almost inconceivable that the precise dates mentioned in the Flood Narrative could have been transmitted to posterity without a written record! Genesis 8:3-13. And the same applies to the transmission of the lists of the precise ages attained by both the antediluvian and the postdiluvian patriarchs. Genesis 5:1-32 & 11:10-32.