EE2302Foundations of Information Engineering and Cryptography

这门课学什么

课程简介

This course introduces the mathematical foundations of information engineering and cryptography. Topics include sets, functions, relations, number theory, group theory, and linear algebra, together with their applications to cryptographic systems and error-correcting codes. Students will develop analytical and problem-solving skills through the application of mathematical methods to information engineering problems.

校方 PDF 第 2 页 · Abstract

课程内容

Discrete Mathematical Foundations Basic properties of sets; functions, injective, surjective, and bijective functions; inverse functions and composition of functions; relation on sets; equivalence relations, equivalence classes, and congruence modulo n; countable and uncountable sets (optional); examples from information engineering and cryptography. Number Theory and Cryptography Prime numbers, divisibility, unique factorization, greatest common divisor, Euclidean algorithm, modular arithmetic, Chinese Remainder Theorem, applications to cryptography, RSA cryptosystem, and the use of mathematics software systems (e.g. SageMath). Group Theory and Cryptography Definition of groups, subgroups, cyclic groups, generators, and Diffie-Hellman key exchange. Linear Algebra and Information Engineering Vector spaces, linear mapping, linear error-correcting codes, minimum distance, encoding and decoding methods. Selected Topics (optional) Advanced topics in information engineering and cryptography, such as Reed-Solomon codes, post-quantum cryptography, or related contemporary developments.

校方 PDF 第 4 页 · Keyword Syllabus

预期学习成果

查看校方学习成果与对应条件

               CILOs                                                  Weighting (if DEC-A1         DEC-A2          DEC-A3
                                                                      app.)
1              Explain the concepts of sets, relations, and                          x             x
               functions.
2              Apply number-theoretic techniques to                                  x             x
               cryptographic systems.
3              Apply linear algebra concepts to error-                               x             x
               correcting codes.
4              Solve information engineering and                                     x             x
               cryptographic problems using appropriate
               mathematical methods.

A1: Attitude
Develop an attitude of discovery/innovation/creativity, as demonstrated by students possessing a strong sense of curiosity,
asking questions actively, challenging assumptions or engaging in inquiry together with teachers.

A2: Ability
Develop the ability/skill needed to discover/innovate/create, as demonstrated by students possessing critical thinking skills
to assess ideas, acquiring research skills, synthesizing knowledge across disciplines or applying academic knowledge to
real-life problems.

A3: Accomplishments
Demonstrate accomplishment of discovery/innovation/creativity through producing /constructing creative works/new
artefacts, effective solutions to real-life problems or new processes.

校方 PDF 第 2 页 · Course Intended Learning Outcomes (CILOs)

我能不能修这门课

先修、建议先备和并修要求分别查看；等同及互斥条件也会影响选课。and 表示同时满足，or 表示备选；组合条件按下方原文分组阅读。

先修条件

无（校方注明 Nil）

校方 PDF 第 1 页 · Prerequisites

建议先备知识

EE1001 Foundations of Digital Techniques and EE1004 Foundations of Information Systems and Data Analysis and (MA1201 Calculus and Basic Linear Algebra II or MA1301 Enhanced Calculus and Linear Algebra II)

校方 PDF 第 1 页 · Precursors

并修要求

该版官方课纲未列明该项。

其他修读要求

本页尚无已核实的这一项信息。

等同课程及条件

无（校方注明 Nil）

校方 PDF 第 1 页 · Equivalent Courses

互斥课程及条件

无（校方注明 Nil）

校方 PDF 第 1 页 · Exclusive Courses

怎么考，怎样才算通过

考核方式

Continuous assessment: 30%; Examination: 70%; Examination duration: 2 hours

各项考核占多少分

考核项目	比重	生成式 AI 使用	备注与限制
Tests	20%	原表未列明	原表未列明
Assignments	10%	原表未列明	原表未列明

查看校方原始考核表与使用要求

Assessment Tasks / Activities (ATs)
                      ATs                  CILO No.              Weighting (%)           Remarks            Allow Use of
                                                                                                            GenAI?
1                     Tests (min.: 2)      1, 2, 3, 4            20                      -                   No
2                     #Assignments         1, 2, 3, 4            10                      -                   Yes
                      (min.: 3)

Continuous Assessment (%)
30


Examination (%)
70

Examination Duration (Hours)
2

Minimum Continuous Assessment Passing Requirement (%)
30

Minimum Examination Passing Requirement (%)
30

Additional Information for ATs
Remark: To pass the course, student are required to achieve at least 30% in the coursework and 30% of the examination. #
may include homework, tutorial exercise, project/mini-project, presentation

通过条件

To pass the course, student are required to achieve at least 30% in the coursework and 30% of the examination.

校方 PDF 第 3 页 · Additional Information for ATs