Publication 2000 Issue No. 2 - February Abstract - Complexity and Fast Algorithms for Multiexponentiations
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Complexity and Fast Algorithms for Multiexponentiations
February 2000 (vol. 49 no. 2)
pp. 141-147
 ASCII Text x Vassil S. Dimitrov, Graham A. Jullien, William C. Miller, "Complexity and Fast Algorithms for Multiexponentiations," IEEE Transactions on Computers, vol. 49, no. 2, pp. 141-147, February, 2000.
 BibTex x @article{ 10.1109/12.833110,author = {Vassil S. Dimitrov and Graham A. Jullien and William C. Miller},title = {Complexity and Fast Algorithms for Multiexponentiations},journal ={IEEE Transactions on Computers},volume = {49},number = {2},issn = {0018-9340},year = {2000},pages = {141-147},doi = {http://doi.ieeecomputersociety.org/10.1109/12.833110},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on ComputersTI - Complexity and Fast Algorithms for MultiexponentiationsIS - 2SN - 0018-9340SP141EP147EPD - 141-147A1 - Vassil S. Dimitrov, A1 - Graham A. Jullien, A1 - William C. Miller, PY - 2000KW - Modular exponentiationKW - cryptographyKW - complex arithmetic.VL - 49JA - IEEE Transactions on ComputersER -

Abstract—In this paper, we propose new algorithms for multiple modular exponentiation operations. The major aim of these algorithms is to speed up the performance of some cryptographic protocols based on multiexponentiation. Our new algorithms are based on binary-like complex arithmetic, introduced by Pekmestzi and generalized in this paper.

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Index Terms:
Modular exponentiation, cryptography, complex arithmetic.
Citation:
Vassil S. Dimitrov, Graham A. Jullien, William C. Miller, "Complexity and Fast Algorithms for Multiexponentiations," IEEE Transactions on Computers, vol. 49, no. 2, pp. 141-147, Feb. 2000, doi:10.1109/12.833110