Dynamic MDS Matrices for Substantial Cryptographic Strength

نویسندگان

  • Muhammad Yasir Malik
  • Jong-Seon No
چکیده

Ciphers get their strength from the mathematical functions of confusion and diffusion, also known as substitution and permutation. These were the basics of classical cryptography and they are still the basic part of modern ciphers. In block ciphers diffusion is achieved by the use of Maximum Distance Separable (MDS) matrices. In this paper we present some methods for constructing dynamic (and random) non-linear MDS matrices.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lightweight 4x4 MDS Matrices for Hardware-Oriented Cryptographic Primitives

Linear diffusion layer is an important part of lightweight block ciphers and hash functions. This paper presents an efficient class of lightweight 4x4 MDS matrices such that the implementation cost of them and their corresponding inverses are equal. The main target of the paper is hardware oriented cryptographic primitives and the implementation cost is measured in terms of the required number ...

متن کامل

Efficient MDS Diffusion Layers Through Decomposition of Matrices

Diffusion layers are critical components of symmetric ciphers. MDS matrices are diffusion layers of maximal branch number which have been used in various symmetric ciphers. In this article, we examine decomposition of cyclic matrices from mathematical viewpoint and based on that, we present new cyclic MDS matrices. From the aspect of implementation, the proposed matrices have lower implementati...

متن کامل

Variations to the Cryptographics Algorithms AES and Twofish

The Cryptographics Algorithms AES and Twofish guarantee a high diffusion with the use of fixed MDS matrices of size 4 × 4. In this article variations to the Cryptographics Algorithms AES and Twofish are made. They allow that the process of cipher decipher come true with MDS matrices selected randomly from an algorithm that obtaining an MDS matrix of set of all the MDS matrices possible. A new S...

متن کامل

Direct Exponent and Scalar Multiplication Classes of an MDS Matrix

Ghulam Murtaza, Nassar Ikram 1,2 National University of Sciences and Technology, Pakistan [email protected] [email protected] Abstract. An MDS matrix is an important building block adopted by different algorithms that provides diffusion and therefore, has been an area of active research. In this paper, we present an idea of direct exponent and direct square of a matrix. We prove...

متن کامل

Optimizing Implementations of Lightweight Building Blocks

We study the synthesis of small functions used as building blocks in lightweight cryptographic designs in terms of hardware implementations. This phase most notably appears during the ASIC implementation of cryptographic primitives. The quality of this step directly affects the output circuit, and while general tools exist to carry out this task, most of them belong to proprietary software suit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • IACR Cryptology ePrint Archive

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011