Educational guide
IDENTIFYING DATA							2023_24
Subject	MATHEMATICS FOR CYBERSECURITY I - CRYPTOGRAPHY					Code	01732102
Study programme
Descriptors	Credit.	Type	Year	Period
	6	Compulsory	First
Language	Castellano
Prerequisites
Department
Coordinador					E-mail
Lecturers
Web	http://
General description
Tribunales de Revisión	Tribunal titular Cargo Departamento Profesor Tribunal suplente Cargo Departamento Profesor

Competencies

Type A	Code	Competences Specific
Type B	Code	Competences Transversal
Type C	Code	Competences Nuclear
	C1
	C2
	C3
	C4
	C5

Learning aims

	Competences
Understand and apply cryptographic protocols and the mathematical concepts related.	A17031 A17037 A17038	B5214 B5217 B5218 B5219	C1 C2 C3 C4 C5
Apply the concepts learnt doing the assignments.	A17031 A17037 A17038	B5214 B5218 B5219	C1 C2 C3 C4 C5

Contents

Topic	Sub-topic
	1. Modular arithmetic and elliptic and hyperelliptic curves.
	2. Basic combinatorics.
	3. Information Theory: fundamentals and Definitions.
	4. Symmetric Cryptography.
	5. Asymmetric Cryptography.
	6. Compression functions.
	7. Pseudo-random number generation.
	8. Cryptanalysis.

Planning

Methodologies  ::  Tests
	Class hours	Hours outside the classroom	Total hours
Problem solving, classroom exercises	12	18	30
Portfolios/Learning folder	5	40	45
Personal tuition	1	0	1
Lecture	25	44	69
Extended-answer tests	3	0	3
Practical tests	2	0	2
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies

Methodologies   ::  

	Description
Problem solving, classroom exercises	Lectures where problems and theoretical questions about the contents of the course are discussed.
Portfolios/Learning folder	Technique for learning how to compile and organize evidence that encourages the student to reflect on his or her progress and demonstrates that he or she has achieved the professional competences which enable him or her to work professionally.
Personal tuition	Time to provide support to the student's concerns on the topics covered
Lecture	The contents of the course are presented.

Personalized attention

Personal tuition

Description Students can have personalized attention by email, using the forum in Moodle or scheduling a videoconference.

Assessment

	Description	Qualification
Portfolios/Learning folder	Technique for learning how to compile and organize evidence that encourages the student to reflect on his or her progress and demonstrates that he or she has achieved the professional competences which enable him or her to work professionally.	50%
Extended-answer tests	Written tests to evaluate the competences acquired in the lectures and problem-solving classes.	50%
Other comments and second call
<p>The grade wil be computed attending to two types of assessment: summative and continuous. In order to pass the course, it is necessary to obtain a grade of at least 50% . The final grade will be computed only if the student has a grade of at least 40% in every assignment and test.  </p><p>The sumative part will be assessed with at least a test, accounting for 50% of the total grade, which might contain both theoretical and practical questions. Specific software might be suitable and required to solve some of these questions.  </p><p>As for the continuous assessment, the students will need to elaborate a portfolio, consisting of several assignments (to be done individually and /or in groups) which will be proposed along the term. This part will account for 50% of the total grade. </p><p>The grade of the second call will be the grade obtained in a theoretical-practical test.  </p><p>The use of any electronic device (cell phones, tablets, etc) allowing the student to have communication with other people will be forbidden while doing the tests, as well as any material not explicitly allowed by the professor. </p><p> If a student breaks this rule, he will fail the exam and the Academic Authority of the Center will be informed so that they can follow the procedure approved by the Governing Council of the University on January 29th, 2015.</p>

Sources of information

Access to Recommended Bibliography in the Catalog ULE

Basic	Menezes, A., van Oorschot, P., Vanstone, S. , Handbook of Applied Cryptograpy , CRC Press , Katz,J, Lindell, Y. , Introduction to modern cryptography , , Smart, N. , Cryptography: An Introduction , , www.cs.umd.edu/~waa/414-F11/IntroToCrypto.pdf González Vasco, M.I., Steinwandt, R. , Group Theoretic Cryptography , Chapman & Hall/ CRC, Paar, C. , Pelzl, J. , Understanding Cryptography, Springer,
Complementary	Niels Ferguson, Bruce Schneier, Tadayoshi Kahna, Cryptography Engineering: Design Principles and Practical Applications, Wiley,

Recommendations

Other comments

It is recommended to have attended a course on Discrete Mathematics.