The prohibition of 18 U.S.C. § 1001 requires that the false statement, concealment or cover up be “knowingly and willfully” done, which means that “The statement must have been made with an intent to deceive, a design to induce belief in the falsity or to mislead, but § 1001 does not require an intent to defraud — that is, the intent to deprive someone of something by means of deceit.” United States v. Lichenstein, 610 F.2d 1272, 1276-77 (5th Cir.), cert. denied, 447 U.S. 907 (1980). The government may prove that a false statement was made “knowingly and willfully” by offering evidence that defendants acted deliberately and with knowledge that the representation was false. See United States v. Hopkins, 916 F.2d 207, 214 (5th Cir. 1990). The jury may conclude from a plan of elaborate lies and half-truths that defendants deliberately conveyed information they knew to be false to the government. Id. at 214-15.
Original source: Justice.gov