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The universal composition security of secure positioning, which is a vital primitive in position-based cryptography, is investigated in this paper. This paper proposes a universally composable secure positioning model, which is a bounded retrieval model(F BRM) with the ideal functionalities of secure positioning(F d SP).Then, a one-dimensional version of a novel secure positioning protocol SPreg1 is presented, which is universally composable and is secure in the(F REG, F BRM)-hybrid model. Protocol SPreg1 additionally offers verifier authentication properties, as opposed to similar existing secure positioning protocols. Lastly, a generic version of the secure positioning protocol SPregd in d dimensions is proposed based on the protocol SPreg1. In summary,the proposed secure positioning protocols have been proved to be secure in the universally composable framework.
The universal composition security of secure positioning, which is a vital primitive in position-based cryptography, is investigated in this paper. This paper proposes a universally composable secure positioning model, which is a bounded retrieval model (F BRM) with the ideal functionalities of secure positioning (F d SP). Then, a one-dimensional version of a novel secure positioning protocol SPreg1 is presented, which is universally composable and is secure in the (F REG, F BRM) -hybrid model. Protocol SPreg1 offers offers verifier Lastly, a generic version of the secure positioning protocol SPregd in d dimensions is proposed based on the protocol SPreg1. In summary, the proposed secure positioning protocols have been proved to be secure in the universally composable framework.