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CM30173: Cryptography

[Page last updated: 20 April 2021]

Academic Year: 2021/2
Owning Department/School: Department of Computer Science
Credits: 6      [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Honours (FHEQ level 6)
Period:
Semester 2
Assessment Summary: EX 100%
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites: Before taking this module you must ( take CM10227 OR take XX10190 ) AND ( take 2 MODULES FROM {CM10196, CM20217} OR take MA10209 )
An elementary knowledge of number theory, as in chapters 1-2 of Davenport The Higher Arithmetic, is required to take this unit.
Aims: To introduce students to the techniques, tools and pitfalls of cryptography (including authentication etc.).

Learning Outcomes: 1. Students will understand the basic mathematics behind private-key and public-key cryptography;
2. Students will be able to describe several well-known techniques for cryptographic security and authentication.

Skills: Application of Number (T/F, A), Problem Solving (T/F).

Content: Introduction to the problem: security, privacy, authentication, repudiation, revocation. The key distribution problem: public vs private keys. The mathematics of cryptography: Fermat-Euler Theorem, structure of finite fields and elliptic curves. Cryptographic algorithms: Diffie-Hellman, RSA, El-Gamal. Cryptanalysis: discrete logarithms, factoring. The Coppersmith attack. Elliptic Curve analogues. Private-key algorithms: DES, 3DES and AES. Common hashing algorithms: MD5, SHA-1. Characteristics of safe keys. Using cryptography: digital signatures: how to find the public key.Repudiation and revocation, examples in practice: PGP, digital certificates.

Programme availability:
NB. Postgraduate programme information will be added when the postgraduate catalogues are published in August 2021

CM30173 is Optional on the following programmes:

Department of Computer Science
  • USCM-AFB06 : BSc(Hons) Computer Science (Year 3)
  • USCM-AAB07 : BSc(Hons) Computer Science with Study year abroad (Year 4)
  • USCM-AKB07 : BSc(Hons) Computer Science with Year long work placement (Year 4)
  • USCM-AFB20 : BSc(Hons) Computer Science and Mathematics (Year 3)
  • USCM-AAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 4)
  • USCM-AKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 4)
  • USCM-AFM01 : MComp(Hons) Computer Science (Year 3)
  • USCM-AAM02 : MComp(Hons) Computer Science with Study year abroad (Year 3)
  • USCM-AKM02 : MComp(Hons) Computer Science with Year long work placement (Year 3)
  • USCM-AFM14 : MComp(Hons) Computer Science and Mathematics (Year 3)
  • USCM-AAM14 : MComp(Hons) Computer Science and Mathematics with Study year abroad (Year 3)
  • USCM-AKM14 : MComp(Hons) Computer Science and Mathematics with Year long work placement (Year 3)
Department of Mathematical Sciences
  • USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
  • USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
  • USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
  • USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
  • USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
  • USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
  • USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
  • USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
  • USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
  • USMA-AFB05 : BSc(Hons) Statistics (Year 3)
  • USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
  • USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 4)
  • USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)

Notes:

  • This unit catalogue is applicable for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this unit will be available in future years in the format displayed here for 2021/22.
  • Programmes and units are subject to change in accordance with normal University procedures.
  • Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.