Abstract
Substitution boxes are central to symmetric ciphers. Typically, the s-box is the primary source of non-linearity in a symmetric cipher. The proper design of s-boxes is critical to designing effective and secure symmetric ciphers. Many introductory cryptography books do not provide adequate coverage of this topic, in many cases no coverage at all. In this chapter we will examine how s-boxes are designed, and we will look at the DES s-boxes as well as the Rijndael s-box. We will also examine the criteria for creating effective s-boxes. This will provide the reader with a working knowledge of s-box design.
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Test Your Knowledge
Test Your Knowledge
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1.
In mathematics, the ____________ of a number x is the number which, when multiplied by x, yields 1.
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2.
What is the irreducible polynomial used in standard AES?
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3.
What is the strict avalanche criterion in s-box design?
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4.
What is the bit independence criterion in s-box design?
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5.
What is the value of the Rijndael translation vector?
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6.
How many irreducible polynomials are there for the generation of the Rijndael s-box?
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7.
What is the primary advantage that DES s-boxes convey on the DES cipher?
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8.
A _______ provides the source of non-linearity for a given cryptographic algorithm.
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9.
An s-box that transposes bits is called a _______ box.
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10.
What are the two concerns with using a compression s-box?
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Easttom, C. (2022). s-box Design. In: Modern Cryptography. Springer, Cham. https://doi.org/10.1007/978-3-031-12304-7_8
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DOI: https://doi.org/10.1007/978-3-031-12304-7_8
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