Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.30

Apply ciphers (encryption and decryption algorithms) and cryptosystems for encrypting and decrypting including symmetric-key or public-key systems.

Unpacked Content

Knowledge

Students know:

  • How to multiply matrices and find inverses.

Skills

Students are able to:

  • Carry out modular arithmetic procedures.
  • Use a variety of ciphers to encrypt and decrypt moderate-sized messages.

Understanding

Students understand that:

  • Symmetric-key cryptography such as substitution ciphers or public-key cryptosystems can be used to encrypt and decrypt messages.
  • Cryptosystems are used to ensure the privacy and authenticity of information.

Vocabulary

  • Modular arithmetic
  • Cipher
  • Encryption
  • Decryption
  • Symmetric-key cryptography
  • Public-key cryptography
  • RSA cryptosystem
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