Generating substitution boxes with 104 non-linearity for AES using chaos

V. M. Silva-García; R. Flores-Carapia; C. Rentería-Márquez; A. I. Ortiz-Romero

doi:10.12988/ams.2016.511695

Generating substitution boxes with 104 non-linearity for AES using chaos

V. M. Silva-García, R. Flores-Carapia, C. Rentería-Márquez, A. I. Ortiz-Romero

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this research substitution boxes are built for Advanced Encryption Standard cryptosystem -AES-, using the Chaos procedure. Chaos is generated by a non-linear differential equation. Levels of boxes non- linearity using the Walsh function are measured. Eight thousand one hundred ninety-two boxes are constructed with non-linearity of 104. This article uses AES-128 with one box in each round, which is taken from the 8192 generated. An encryption application to colour images is presented. The randomness degree in the ciphered images to quantify encryption quality is measured. Image encryption is performed without loss of information, i.e., the JPEG format type is not used.

Original language	English
Pages (from-to)	151-166
Number of pages	16
Journal	Applied Mathematical Sciences
Volume	10
Issue number	1-4
DOIs	https://doi.org/10.12988/ams.2016.511695
State	Published - 2016

Keywords

AES
Chaos
Colour Cipher images
Non-linearity
Randomness
Walsh function

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10.12988/ams.2016.511695

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abstract = "In this research substitution boxes are built for Advanced Encryption Standard cryptosystem -AES-, using the Chaos procedure. Chaos is generated by a non-linear differential equation. Levels of boxes non- linearity using the Walsh function are measured. Eight thousand one hundred ninety-two boxes are constructed with non-linearity of 104. This article uses AES-128 with one box in each round, which is taken from the 8192 generated. An encryption application to colour images is presented. The randomness degree in the ciphered images to quantify encryption quality is measured. Image encryption is performed without loss of information, i.e., the JPEG format type is not used.",

keywords = "AES, Chaos, Colour Cipher images, Non-linearity, Randomness, Walsh function",

author = "Silva-Garc{\'i}a, {V. M.} and R. Flores-Carapia and C. Renter{\'i}a-M{\'a}rquez and Ortiz-Romero, {A. I.}",

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AU - Flores-Carapia, R.

AU - Rentería-Márquez, C.

AU - Ortiz-Romero, A. I.

PY - 2016

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AB - In this research substitution boxes are built for Advanced Encryption Standard cryptosystem -AES-, using the Chaos procedure. Chaos is generated by a non-linear differential equation. Levels of boxes non- linearity using the Walsh function are measured. Eight thousand one hundred ninety-two boxes are constructed with non-linearity of 104. This article uses AES-128 with one box in each round, which is taken from the 8192 generated. An encryption application to colour images is presented. The randomness degree in the ciphered images to quantify encryption quality is measured. Image encryption is performed without loss of information, i.e., the JPEG format type is not used.

KW - AES

KW - Chaos

KW - Colour Cipher images

KW - Non-linearity

KW - Randomness

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EP - 166

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

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Generating substitution boxes with 104 non-linearity for AES using chaos

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