Methods and Systems for Two-Factor Authentication Using Contactless Chip Cards or Devices and Mobile Devices or Dedicated Personal Readers

Generating authentication data for use in a transaction by providing a contactless payment device or smart card configured to communicate with a mobile device, placing the contactless chip card in a proximity to the mobile device to instantiate communication between the contactless chip card and the mobile device, inputting a first input value into the mobile device, communicating data derived from the first input value from the mobile device to the contactless chip card, the contactless chip card converting a set of conversion data, including the first input value, into at least one dynamic value based at least in part on a secret value, communicating the dynamic value from the contactless chip card to the mobile device, and communicating authentication data based at least in part on the dynamic value to a user. In some embodiments the first input value is a Personal Identification Number (PIN), a challenge, or both a PIN and a challenge.