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## CM30173: Cryptography

Owning Department/School: Department of Computer Science
Credits: 6
Level: Honours (FHEQ level 6)
Period: Semester 2
Assessment: EX 100%
Supplementary Assessment: CM30173 Mandatory Extra Work (where allowed by programme regulations)
Requisites: Before taking this unit you must take CM10196 and take CM20217 and take CM20218 or have an elementary knowledge of number theory, as in chapters 1-2 of Davenport The Higher Arithmetic, or CM10139 Computation 1: numbers & structures and 20144, or MA10209 (and for transitional arrangements an elementary knowledge of number theory, as in chapters 1-2 of Davenport The Higher Arithmetic, or CM10139 Computation 1: numbers & structures and 20144, or MA10209).
Description: 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:

#### CM30173 is Optional on the following programmes:

Department of Computer Science
• USCM-AFB01 : BSc Computing (Full-time) - Year 3
• USCM-AKB01 : BSc Computing (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AFB06 : BSc (hons) Computer Science (Full-time) - Year 3
• USCM-AKB07 : BSc (hons) Computer Science (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AFB20 : BSc (hons) Computer Science and Mathematics (Full-time) - Year 3
• USCM-AKB20 : BSc (hons) Computer Science and Mathematics (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AAB20 : BSc (hons) Computer Science and Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USCM-AKB16 : BSc (hons) Computer Science with German Language (with Industrial Placement) (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AAB16 : BSc (hons) Computer Science with German Language (with Study Year Abroad) (Full-time with Study Year Abroad) - Year 4
• USCM-AFB13 : BSc (hons) Computer Science with Mathematics (Full-time) - Year 3
• USCM-AKB14 : BSc (hons) Computer Science with Mathematics (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AAB14 : BSc (hons) Computer Science with Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USCM-AKB17 : BSc (hons) Computer Science with Spanish Language (with Industrial Placement) (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AAB17 : BSc (hons) Computer Science with Spanish Language (with Study Year Abroad) (Full-time with Study Year Abroad) - Year 4
• USCM-AAB07 : BSc (hons) Computer Science with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USCM-AFM01 : MComp (hons) Computer Science (Full-time) - Year 3
• USCM-AKM02 : MComp (hons) Computer Science (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AFM14 : MComp (hons) Computer Science and Mathematics (Full-time) - Year 3
• USCM-AKM14 : MComp (hons) Computer Science and Mathematics with Industrial Placement (Full-time with Thick Sandwich Placement) - Year 4
• USCM-AAM14 : MComp (hons) Computer Science and Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USCM-AAM02 : MComp (hons) Computer Science with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
Department of Mathematical Sciences
• USMA-AFB15 : BSc (hons) Mathematical Sciences (Full-time) - Year 3
• USMA-AKB16 : BSc (hons) Mathematical Sciences (Full-time with Thick Sandwich Placement) - Year 4
• USMA-AAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USMA-AFB13 : BSc (hons) Mathematics (Full-time) - Year 3
• USMA-AKB14 : BSc (hons) Mathematics (Full-time with Thick Sandwich Placement) - Year 4
• USMA-AFB01 : BSc (hons) Mathematics and Statistics (Full-time) - Year 3
• USMA-AKB02 : BSc (hons) Mathematics and Statistics (Full-time with Thick Sandwich Placement) - Year 4
• USMA-AAB02 : BSc (hons) Mathematics and Statistics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USMA-AAB14 : BSc (hons) Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USMA-AFB05 : BSc (hons) Statistics (Full-time) - Year 3
• USMA-AKB06 : BSc (hons) Statistics (Full-time with Thick Sandwich Placement) - Year 4
• USMA-AAB06 : BSc (hons) Statistics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USMA-AFM14 : MMath Mathematics (Full-time) - Year 3
• USMA-AFM14 : MMath Mathematics (Full-time) - Year 4
• USMA-AAM15 : MMath Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• TSMA-AFM08 : MSc Modern Applications of Mathematics (Full-time)
• TSMA-AWM14 : MSc Modern Applications of Mathematics (Full-time incorporating placement)
• TSMA-AFL02 : PG Dip Modern Applications of Mathematics (Full-time)
Department of Physics
• USPH-AFB05 : BSc (hons) Physics with Computing (Full-time) - Year 3
• USPH-AKB06 : BSc (hons) Physics with Computing (with Placement) (Full-time with Thick Sandwich Placement) - Year 4
• USPH-AAB06 : BSc (hons) Physics with Computing with Year Abroad (Full-time with Study Year Abroad) - Year 4

Notes:
* This unit catalogue is applicable for the 2013/4 academic year only. Students continuing their studies into 2014/15 and beyond should not assume that this unit will be available in future years in the format displayed here for 2013/14.
* Programmes and units are subject to change at any time, 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.