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Research Output

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2017

Montgomery curves and the Montgomery ladder

Bernstein, D. J. & Lange, T., 2017, Topics in Computational Number Theory Inspired by Peter L. Montgomery. Bos, J. W. . & Lenstra, A. K. (eds.). Cambridge: Cambridge University Press, p. 82-115

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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151 Downloads (Pure)
2016

Dual EC: a standardized back door

Bernstein, D. J., Lange, T. & Niederhagen, R., 2016, The New Codebreakers : Essays Dedicated to David Kahn on the Occasion of His 85th Birthday. Ryan, P. Y. A., Naccache, D. & Quisquater, J. J. (eds.). Dordrecht: Springer, p. 256-281 26 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 9100).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

15 Citations (Scopus)
2013

Addition formulas for elliptic curves

Bernstein, D. J. & Lange, T., 2013, Handbook of Finite Fields. Mullen, G. L. & Panario, D. (eds.). London: Chapman & Hall/CRC Press, p. 440-446 (Discrete Mathematics and Its Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

1 Citation (Scopus)
4 Downloads (Pure)
2011

Hash-based signatures

Lange, T., 2011, Encyclopedia of Cryptography and Security (2nd ed.). Tilborg, van, H. C. A. & Jajodia, S. (eds.). New York: Springer, p. 540-542

Research output: Chapter in Book/Report/Conference proceedingChapterProfessional

Vector space

Lange, T., 2011, Encyclopedia of Cryptography and Security (2nd ed.). Tilborg, van, H. C. A. & Jajodia, S. (eds.). New York: Springer, p. 1356-1356

Research output: Chapter in Book/Report/Conference proceedingChapterProfessional

2006

Algebraic realizations of DL systems

Frey, G. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 547-572 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Arithmetic of elliptic curves

Doche, C. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 267-302 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Arithmetic of hyperelliptic curves

Duquesne, S. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 303-353 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Arithmetic of special curves

Doche, C. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 355-387 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Background on curves and Jacobians

Frey, G. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 45-85 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Background on Weil descent

Frey, G. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 125-132 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

2 Downloads (Pure)

Complex multiplication

Frey, G. & Lange, T., 2006, Handbook of elliptic and hyperelliptic curve cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 455-473 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

2 Downloads (Pure)

Introduction to public-key cryptography

Avanzi, R. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 1-15 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

1 Downloads (Pure)

Mathematical countermeasures against side-channel attacks

Lange, T., 2006, Handbook of elliptic and hyperelliptic curve cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 687-714 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Pairing-based cryptography

Duquesne, S. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 573-590 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Random numbers, generation and testing

Lange, T., Lubicz, D. & Weigl, A., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 715-735 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

293 Citations (Scopus)

Transfer of discrete logarithmics

Frey, G. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 529-543 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Varieties over special fields

Frey, G. & Lange, T., 2006, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Cohen, H. & Frey, G. (eds.). Boca Raton FL, USA: Chapman & Hall/CRC Press, p. 87-113 (Discrete Mathematics and Its Applications; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

18 Citations (Scopus)
1 Downloads (Pure)