Popovych R. Extended Finite Fields in Cryptographic Information Protection

EXTENDED FINITE FIELDS IN CRYPTOGRAPHIC INFORMATION PROTECTION
Roman Popovych
Lviv Polytechnic National University, 12, Bandera Str., Lviv, 79013, Ukraine
Author’s e-mail: rombp07@gmail.com
Submitted on 21.11.2016
© Popovych R., 2016

Abstrac. The use of extended finite fields for cryptographic information protection is focused on. In particular, explicit construction in finite fields elements of high multiplicative order is described. The obtained correspondent lower bounds on the order are provided.

Index Terms – information protection, algebraic structure, finite field, multiplicative order, lower bound.

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