Session

Management, Business and Economics

Description

The Diffie-Hellman protocol was proposed by Whitfield Diffie and Martin Hellman. Diffie and Hellman wanted a mathematical function where encryption and decryption would not be important, ie �(�(�))=�(�(�)). Such functions exist, but most are two-way, ie finding inverse functions is easy work eg. such a function is � (�) = 2�.

A practical example of these functions is the electrical switch. However, these functions are not usable in cryptography. Important are the concrete forms of so-called one-way functions. These problem functions appear to find their inverse functions, which are found through complex procedures. So for a given � we can easily compute �(�), but for given �(�) it is difficult to measure �, but if the secret value is known, then both the direct value and the inverse value are easily counted. Modular arithmetic means the presence of a large number of such one-time functions. So we will explore in this section for finding such functions.

Keywords:

One-way, inverse, encryption, DH protocol

Session Chair

Besnik Skenderi

Session Co-Chair

Mirjeta Domniku

Proceedings Editor

Edmond Hajrizi

ISBN

978-9951-437-69-1

First Page

67

Last Page

71

Location

Pristina, Kosovo

Start Date

27-10-2018 3:15 PM

End Date

27-10-2018 4:45 PM

DOI

10.33107/ubt-ic.2018.329

Included in

Business Commons

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Oct 27th, 3:15 PM Oct 27th, 4:45 PM

Use composite commutation functions in determining the Diffie-Hellman keys

Pristina, Kosovo

The Diffie-Hellman protocol was proposed by Whitfield Diffie and Martin Hellman. Diffie and Hellman wanted a mathematical function where encryption and decryption would not be important, ie �(�(�))=�(�(�)). Such functions exist, but most are two-way, ie finding inverse functions is easy work eg. such a function is � (�) = 2�.

A practical example of these functions is the electrical switch. However, these functions are not usable in cryptography. Important are the concrete forms of so-called one-way functions. These problem functions appear to find their inverse functions, which are found through complex procedures. So for a given � we can easily compute �(�), but for given �(�) it is difficult to measure �, but if the secret value is known, then both the direct value and the inverse value are easily counted. Modular arithmetic means the presence of a large number of such one-time functions. So we will explore in this section for finding such functions.