CRYPTOGRAPHIC PROPERTIES OF MODULAR MULTIPLICATION MODULO A POWER OF 2

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MAHMOODI RISHAKANI AKBAR

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Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2012 | Volume:12 | Issue:1 Page(s): 327-338

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Information Journal Paper

Title

CRYPTOGRAPHIC PROPERTIES OF MODULAR MULTIPLICATION MODULO A POWER OF 2

Author(s)

MAHMOODI RISHAKANI AKBAR | | | Issue Writer Certificate

Keywords

MULTIPLICATION MODULO A POWER OF 2Q2

BOOLEAN FUNCTIONQ2

COMPONENT FUNCTION ALGEBRAIC DEGREEQ2

IMBALANCEQ2

Abstract

Modular multiplication modulo a power of two is one of the operators that is used in cryptography specially symmetric cryptography. In this paper we investigate the statistical and algebraic properties of this operator from the cryptographic viewpoint. At first we compute the distribution of the output of modular multiplication modulo a power of two and the distribution of its component BOOLEAN FUNCTIONs. Then after presenting a criterion for measuring the IMBALANCE of maps, we obtain the IMBALANCE of this operator and its component BOOLEAN FUNCTIONs. At last we investigate the algebraic degree of the component BOOLEAN FUNCTIONs of this operator and present a lower bound for the degree of these functions.

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APA: Copy

MAHMOODI RISHAKANI, AKBAR. (2012). CRYPTOGRAPHIC PROPERTIES OF MODULAR MULTIPLICATION MODULO A POWER OF 2. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 12(1), 327-338. SID. https://sid.ir/paper/44047/en

Vancouver: Copy

MAHMOODI RISHAKANI AKBAR. CRYPTOGRAPHIC PROPERTIES OF MODULAR MULTIPLICATION MODULO A POWER OF 2. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2012;12(1):327-338. Available from: https://sid.ir/paper/44047/en

IEEE: Copy

AKBAR MAHMOODI RISHAKANI, “CRYPTOGRAPHIC PROPERTIES OF MODULAR MULTIPLICATION MODULO A POWER OF 2,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 12, no. 1, pp. 327–338, 2012, [Online]. Available: https://sid.ir/paper/44047/en

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