A Formula for Disaster: A Unified Approach to Elliptic Curve Special-Point-Based Attacks

Vladimir Sedlacek, Jesús Javier Chi-Domínguez, Jan Jancar, Billy Bob Brumley

Tutkimustuotos: KonferenssiartikkeliScientificvertaisarvioitu

3 Lataukset (Pure)

Abstrakti

The Refined Power Analysis, Zero-Value Point, and Exceptional Procedure attacks introduced side-channel techniques against specific cases of elliptic curve cryptography. The three attacks recover bits of a static ECDH key adaptively, collecting information on whether a certain multiple of the input point was computed. We unify and generalize these attacks in a common framework, and solve the corresponding problem for a broader class of inputs. We also introduce a version of the attack against windowed scalar multiplication methods, recovering the full scalar instead of just a part of it. Finally, we systematically analyze elliptic curve point addition formulas from the Explicit-Formulas Database, classify all non-trivial exceptional points, and find them in new formulas. These results indicate the usefulness of our tooling, which we released publicly, for unrolling formulas and finding special points, and potentially for independent future work.

AlkuperäiskieliEnglanti
OtsikkoAdvances in Cryptology – ASIACRYPT 2021 - 27th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings, Part 1
ToimittajatMehdi Tibouchi, Huaxiong Wang
KustantajaSpringer
Sivut130-159
Sivumäärä30
ISBN (elektroninen)9783030920623
ISBN (painettu)9783030920616
DOI - pysyväislinkit
TilaJulkaistu - 2021
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisussa
TapahtumaInternational Conference on Theory and Application of Cryptology and Information Security - Virtual, Online
Kesto: 6 jouluk. 202110 jouluk. 2021

Julkaisusarja

NimiLecture Notes in Computer Science
Vuosikerta13090
ISSN (painettu)0302-9743
ISSN (elektroninen)1611-3349

Conference

ConferenceInternational Conference on Theory and Application of Cryptology and Information Security
KaupunkiVirtual, Online
Ajanjakso6/12/2110/12/21

Julkaisufoorumi-taso

  • Jufo-taso 1

!!ASJC Scopus subject areas

  • Theoretical Computer Science
  • Yleinen tietojenkäsittelytiede

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