no. 5
On-line evaluation of powers using Euclid's algorithm
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 29 (1995) no. 5, pp. 431-450. 
@article{ITA_1995__29_5_431_0,
     author = {Brlek, Sre\'cko and Cast\'eran, Pierre and Habsieger, Laurent and Mallette, Richard},
     title = {On-line evaluation of powers using {Euclid's} algorithm},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {431--450},
     publisher = {EDP-Sciences},
     volume = {29},
     number = {5},
     year = {1995},
     mrnumber = {1360669},
     zbl = {0838.68044},
     language = {en},
     url = {http://archive.numdam.org/item/ITA_1995__29_5_431_0/}
}
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Brlek, Srećko; Castéran, Pierre; Habsieger, Laurent; Mallette, Richard. On-line evaluation of powers using Euclid's algorithm. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 29 (1995) no. 5, pp. 431-450. http://archive.numdam.org/item/ITA_1995__29_5_431_0/

1. A. Brauer, On Addition Chains, Bull. Amer. Math. Soc., 1939, 45, pp. 736-739. | JFM | MR

2. F. Bergeron, J. Berstel and S. Brlek, A Unifying Approach to the Generation of Addition Chains, Proc. XV Latin American Conf. on Informatics, Santiago, Chile, July 10-14, 1989, pp. 29-38.

3. F. Bergeron, J. Berstel and S. Brlek, Efficient Computation of Addition Chains, J. Théorie des Nombres de Bordeaux, 1994, 6, pp. 21-38. | Numdam | MR | Zbl

4. F. Bergeron, J. Berstel, S. Brlek and C. Duboc, Addition Chains Using Continued Fractions, J. Algorithms, 1989, 10, pp. 403-412. | MR | Zbl

5. F. Bergeron and J. Olivos, Vectorial Addition Chains Using Euclid's Algorithm, Submitted.

6. J. Bos and M. Coster, Addition Chain Heuristics, Proceedings of CRYPTO 89, 1989. - Some algorithms on addition chains and their complexity Tech. Rep. Center for Mathematics and Computer Sc. Amsterdam, 1990.

7. S. Brlek, P. Castéran and R. Strandh, Chaînes d'additions et structures de contrôle, Journées JFLA 91, 28-29 janvier 1991, Gresse-en-Vercors, France, Bigre, 1991, 72, pp. 54-63.

8. S. Brlek, P. Castéran and R. Strandh, On Addition Schemes, Proceedings of TAPSOFT91, April 8-12, 1991, Brighton, England, Lect. Notes in Comp. Sci., 1991, 494, pp. 379-393.

9. P. Downey, B. Leong and R. Sethi, Computing Sequences with Addition Chains, SIAM J. Computing, 1981, 10, pp. 638-646. | MR | Zbl

10. D. E. Knuth, The Art of Computer Programming, vol. 2, Addison-Wesley, 1981. | MR | Zbl

11. F. Morain and J. Olivos, Speeding up the computations on an elliptic curve using addition-substraction chains, RAIRO Theo. Informatics and Appl., 1990, 6, 24, pp. 531-543. | Numdam | Zbl

12. A. Schönhage, A Lower Bound for the Length of Addition Chains, Theoretical Comp. Sci., 1975, pp. 1-12. | Zbl

13. E. G. Thurber, On Addition Chains l(mn) ≤ l(n) - b and Lower Bounds for c (r), Duke Math., J., 1973, 40, pp. 907-913. | Zbl

14. A. C.-C. Yao, On the Evaluation of Powers, SIAM J. Comp., 1976, 9, pp. 100-103. | Zbl