Louisiana’s health secretary, Bruce Greenstein, is resigning amid state and federal inquiries into the awarding of a Medicaid contract to a company where Mr. Greenstein once worked. Gov. Bobby Jindal’s administration last week canceled the nearly $200 million state contract with CNSI, which is based in Maryland, after details leaked about a federal grand jury subpoena involving the contract award. The governor’s office announced the resignation on Friday but said Mr. Jindal, a Republican, did not seek it. When the Medicaid contract was awarded two years ago, Mr. Greenstein denied any involvement in the selection of the company, but he acknowledged that a change he promoted in the bid solicitation made CNSI eligible for the contract. Mr. Greenstein gave no explanation for quitting in his resignation letter to the governor.