1 semester

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Course title

Practical Cryptography

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Term,

study programme

1st year, 1-31 81 08 Computer Mathematics and System Analysis

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Semester

1

4

Credits

5

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Lecturer

Cherginets Dmitry Nikolaevich

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Course Objective

Training of specialists able to use fundamental mathematical knowledge as a basis for solving applied problems related to cryptography

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Prerequisites

Algebra and Number Theory

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Course content

Cryptographic hash functions, AES cryptosystem, RSA cryptosystem, digital signature, elliptic curve, elliptic curve cryptography, digital watermarking, cryptographic protocols.

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Recommended Literature

  1. Фергюсон, Нильс Практическая криптография = Practical Cryptography / Нильс Фергюсон, Брюс Шнайер ; [пер. с англ. Н. Н. Селиной ; под ред. А. В. Журавлева]. – Москва; Санкт-Петербург; Киев: Диалектика, 2005. – 422с.
  2. Криптология: учебник для студ учреждений высш. образования по математическим и техн. спец. / [авт.: Ю. С. Харин и др.]; БГУ. – Минск: БГУ, 2013. – 511 с.
  3. Маховенко Е.Б. Теоретико-числовые методы в криптографии / Е.Б. Маховенко. – М.: Гелиос АРВ, 2006. – 320с.
  4. Тилборг, Х.К.А. ван. Основы криптологии / Х.К.А. ван Тилборг. – М.: Мир, 2006. – 471 с.
  5. Announcing the Advanced encryption standard (AES) // Federal Information Processing Standards Publication 197  [Electronic resource]. National Institute of Standards and Technology, 2001. –Mode of access: https://csrc.nist.gov/csrc/media/publications/fips/197/final/documents/fips-197.pdf publications/fips/197/final/ documents/fips-197.pdf. – Date of access:01.04.2017.
  6. PKCS#1 v2.2: RSA Cryptography Standart  [Electronic resource]. RSA Laboratories, 2012. – Mode of access: https://www.emc.com/ collateral/white-papers/h11300-pkcs-1v2-2-rsa-cryptography-standard-wp.pdf. – Date of access:01.04.2017.
  7. Digital Signature Standard (DSS) // Federal information processing standards publication  [Electronic resource]. National Institute of Standards and Technology, 2013. – Mode of access: http://dx.doi.org/10.6028/NIST.FIPS.186-4.pdf. – Date of access:01.04.2017.
  8. Государственный стандарт РБ СТБ 34.101.45-2013 // НИИ прикладных проблем математики и информатики БГУ [Электронный ресурс]. – 2013. – Режим доступа: http://apmi.bsu.by/assets/ files/std/bign-spec29.pdf– Дата доступа: 1.04.2017.
  9. Мао, Венбо Современная криптография = Modern Cryptography : теория и практика / Венбо Мао ; [пер. с англ. и ред. Д. А. Клюшина]. – Москва; Санкт-Петербург; Киев: Вильямс, 2005. – 764с.

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Teaching Methods

Mixed with elements of distance learning, Problem-based learning, Research-based learning

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Teaching language

Russian

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Requirements, current control

Presentation and discussion of laboratory results. Exam score consist of the current mark (40%) and the oral exam mark (60%).

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Method of certification

Exam