The article did not not the change is US Code organization in late 90's. Previously election codes were in Title 42 USC as stated. Currently, all election codes are under Title 52 USC Voting and Elections and applicable section numbers have also changed.
1982 42 USC 1971 is now 52 USC §10101. Voting rights
https://uscode.house.gov/view.xhtml?req=granuleid:USC-prelim-title52-section10101&num=0&edition=prelim
1982 42 USC 1971 is now 52 USC §10301. Denial or abridgement of right to vote
https://uscode.house.gov/view.xhtml?req=granuleid:USC-prelim-title52-section10301&num=0&edition=prelim
Another source of voter fraud in inaccurate
voter registration rolls. States are not held accountable for updating rolss and cleaning rolls every 2 years as required by 52 USC §20507. Requirements with respect to administration of voter registration
https://uscode.house.gov/view.xhtml?req=granuleid:USC-prelim-title52-section20507&num=0&edition=prelim
Details on registration and rolls also in other section of 52 USC Voting and Elections. Link to Subtitles for all Chapters and Sections:
https://uscode.house.gov/browse/prelim@title52&edition=prelim