Järvinen, Kimmo; Dimitrov, Vassil; Azarderakhsh, Reza A generalization of addition chains and fast inversions in binary fields. (English) Zbl 1360.65328 IEEE Trans. Comput. 64, No. 9, 2421-2432 (2015). MSC: 65Y04 11T71 11Y16 94A60 PDF BibTeX XML Cite \textit{K. Järvinen} et al., IEEE Trans. Comput. 64, No. 9, 2421--2432 (2015; Zbl 1360.65328) Full Text: DOI
Dimitrov, Vassil; Jullien, Graham; Muscedere, Roberto Multiple-base number system. Theory and applications. (English) Zbl 1241.94002 Circuits and Electrical Engineering Series. Boca Raton, FL: CRC Press (ISBN 978-1-4398-3046-8/hbk; 978-1-138-07651-8; 978-1-4398-3047-5/ebook). xvi, 277 p. (2012). Reviewer: Nicolae Constantinescu (Craiova) MSC: 94-02 11A63 68M07 65G30 94A12 94A60 PDF BibTeX XML Cite \textit{V. Dimitrov} et al., Multiple-base number system. Theory and applications. Boca Raton, FL: CRC Press (2012; Zbl 1241.94002) Full Text: Link
Dimitrov, Vassil S.; Howe, Everett W. Lower bounds on the lengths of double-base representations. (English) Zbl 1263.11086 Proc. Am. Math. Soc. 139, No. 10, 3423-3430 (2011). MSC: 11N56 11A63 11A67 PDF BibTeX XML Cite \textit{V. S. Dimitrov} and \textit{E. W. Howe}, Proc. Am. Math. Soc. 139, No. 10, 3423--3430 (2011; Zbl 1263.11086) Full Text: DOI arXiv
Dimitrov, Vassil S.; Järvinen, Kimmo U.; Jacobson, Michael J. jun.; Chan, Wai Fong; Huang, Zhun Provably sublinear point multiplication on Koblitz curves and its hardware implementation. (English) Zbl 1367.11088 IEEE Trans. Comput. 57, No. 11, 1469-1481 (2008). MSC: 11T71 68P25 68M14 94A60 PDF BibTeX XML Cite \textit{V. S. Dimitrov} et al., IEEE Trans. Comput. 57, No. 11, 1469--1481 (2008; Zbl 1367.11088) Full Text: DOI
Mishra, Pradeep Kumar; Dimitrov, Vassil A combinatorial interpretation of double base number system and some consequences. (English) Zbl 1178.05008 Adv. Math. Commun. 2, No. 2, 159-173 (2008). Reviewer: Andreas N. Philippou (Patras) MSC: 94A60 05C20 05C90 11A63 PDF BibTeX XML Cite \textit{P. K. Mishra} and \textit{V. Dimitrov}, Adv. Math. Commun. 2, No. 2, 159--173 (2008; Zbl 1178.05008) Full Text: DOI
Dimitrov, Vassil; Imbert, Laurent; Mishra, Pradeep K. The double-base number system and its application to elliptic curve cryptography. (English) Zbl 1133.14034 Math. Comput. 77, No. 262, 1075-1104 (2008). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 94A60 11A63 11T71 PDF BibTeX XML Cite \textit{V. Dimitrov} et al., Math. Comput. 77, No. 262, 1075--1104 (2008; Zbl 1133.14034) Full Text: DOI
Mishra, Pradeep Kumar; Dimitrov, Vassil A graph theoretic analysis of double base number systems. (English) Zbl 1153.94414 Srinathan, K. (ed.) et al., Progress in cryptology – INDOCRYPT 2007. 8th international conference on cryptology in India, Chennai, India, December 9–13, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-77025-1/pbk). Lecture Notes in Computer Science 4859, 152-166 (2007). MSC: 94A60 11A67 11T71 05C90 PDF BibTeX XML Cite \textit{P. K. Mishra} and \textit{V. Dimitrov}, Lect. Notes Comput. Sci. 4859, 152--166 (2007; Zbl 1153.94414) Full Text: DOI
Avanzi, Roberto; Dimitrov, Vassil; Doche, Christophe; Sica, Francesco Extending scalar multiplication using double bases. (English) Zbl 1172.94558 Lai, Xuejia (ed.) et al., Advances in cryptology – ASIACRYPT 2006. 12th international conference on the theory and application of cryptology and information security, Shanghai, China, December 3–7, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-49475-1/pbk). Lecture Notes in Computer Science 4284, 130-144 (2006). MSC: 94A60 11G15 11T71 11Y16 PDF BibTeX XML Cite \textit{R. Avanzi} et al., Lect. Notes Comput. Sci. 4284, 130--144 (2006; Zbl 1172.94558) Full Text: DOI
Dimitrov, Vassil; Imbert, Laurent; Mishra, Pradeep Kumar Efficient and secure elliptic curve point multiplication using double-base chains. (English) Zbl 1154.94388 Roy, Bimal (ed.), Advances in cryptology – ASIACRYPT 2005. 11th international conference on the theory and application of cryptology and information security, Chennai, India, December 4–8, 2005, Proceedings. Berlin: Springer (ISBN 978-3-540-30684-9/pbk). Lecture Notes in Computer Science 3788, 59-78 (2005). MSC: 94A60 11T71 14G50 PDF BibTeX XML Cite \textit{V. Dimitrov} et al., Lect. Notes Comput. Sci. 3788, 59--78 (2005; Zbl 1154.94388) Full Text: DOI
Imbert, Laurent; Dimitrov, Vassil S.; Jullien, Graham A. Fault-tolerant computations over replicated finite rings. (English) Zbl 1368.94172 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 50, No. 7, 858-864 (2003). MSC: 94B60 11T71 PDF BibTeX XML Cite \textit{L. Imbert} et al., IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 50, No. 7, 858--864 (2003; Zbl 1368.94172) Full Text: DOI
Jullien, Graham A.; Dimitrov, Vassil Two-dimensional transforms using number theoretic techniques. (English) Zbl 0853.93033 Leondes, Cornelius T. (ed.), Computer techniques and algorithms in digital signal processing. San Diego, CA: Academic Press. Control Dyn. Syst., Adv. Theory Appl. 75, 155-210 (1996). Reviewer: K.Gałkowski (Zielona Góra) MSC: 93B17 94A12 11T55 03C13 93C35 PDF BibTeX XML Cite \textit{G. A. Jullien} and \textit{V. Dimitrov}, in: Computer techniques and algorithms in digital signal processing. San Diego, CA: Academic Press. 155--210 (1996; Zbl 0853.93033)
Dimitrov, Vassil S.; Donevsky, Borislav D. Faster multiplication of medium large numbers via the Zeckendorf representation. (English) Zbl 0826.11011 Fibonacci Q. 33, No. 1, 74-77 (1995). Reviewer: J.Piehler (Merseburg) MSC: 11B39 11B75 11Y16 PDF BibTeX XML Cite \textit{V. S. Dimitrov} and \textit{B. D. Donevsky}, Fibonacci Q. 33, No. 1, 74--77 (1995; Zbl 0826.11011)
Dimitrov, Vassil S.; Cooklev, Todor V.; Donevsky, Borislav D. Generalized Fermat-Mersenne number theoretic transform. (English) Zbl 0808.65146 IEEE Trans. Circuits Syst., II, Analog Digit. Signal Process. 41, No. 2, 133-139 (1994). Reviewer: A.Bultheel (Leuven) MSC: 65T50 94A12 11A63 11A51 PDF BibTeX XML Cite \textit{V. S. Dimitrov} et al., IEEE Trans. Circuits Syst., II, Analog Digit. Signal Process. 41, No. 2, 133--139 (1994; Zbl 0808.65146) Full Text: DOI