Abstract
Recently, many quantum digital signature (QDS) schemes have been proposed to authenticate the integration ofa message. However, these quantum signature schemes just considerthe situation for bit messages, and the signing-verifying of one-bitmodality. So, their signature efficiency is very low. In this paper,we propose a scheme based on an application of Fibonacci-, Lucas-and Fibonacci-Lucas matrix coding to quantum digital signaturesbased on a recently proposed quantum key distribution (QKD) system.Our scheme can sign a large number of digital messages every time.Moreover, these special matrices provide a method to verify theintegration of information received by the participants, toauthenticate the identity of the participants, and to improve theefficiency for signing-verifying. Therefore, our signature scheme ismore practical than the existing schemes.
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