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This survey overviews the potential use of cryptographic primitives in the fifth-generation mobile communications system(aka 5G)and beyond.It discusses the new security challenges that come with 5G and presents the upcoming security architecture.It shows the use of current cryptographic algorithms and discusses new algorithms or modifications of existing ones,that can be relevant.It also discusses the need for lightweight algorithms to meet the new use cases as well as the general demand for algorithms secure even when large quantum computers are available.