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Dergiler / International Journal of Information Security Science / 2026 / Volume: 11 Issue: 2

Fast 4 way vectorized ladder for the complete set of Montgomery curves

Hüseyin Hışıl(YASAR UNIVERSITY)0000-0002-1019-2187
Berkan Eğrice(broadAngle Inc.)0000-0003-3968-9434
Mert Yassı(YASAR UNIVERSITY)0000-0001-7328-9501
Sayfa
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Yayın Tarihi
2022-06-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This paper also introduces new formulas for doing arithmetic over GF(2^255-19).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper introduces 4 way vectorization of Montgomery ladder on any Montgomery form elliptic curve.
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Temel Bulgular & Veri:Our algorithm takes 2M^4+1S^4 (M^4: A vector of four field multiplications, S^4: A vector of four field squarings) per ladder step for variable-scalar variable-point multiplication.
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Sonuç & Katkı:This paper also introduces new formulas for doing arithmetic over GF(2^255-19).
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Montgomery ladder · elliptic curves · genus 1

Abstract

This paper introduces 4 way vectorization of Montgomery ladder on any Montgomery form elliptic curve. Our algorithm takes 2M^4+1S^4 (M^4: A vector of four field multiplications, S^4: A vector of four field squarings) per ladder step for variable-scalar variable-point multiplication. This paper also introduces new formulas for doing arithmetic over GF(2^255-19).

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Bu Makaleye Atıf Yap

Hışıl, H., Eğrice, B., Yassı, M. (2022). Fast 4 way vectorized ladder for the complete set of Montgomery curves. International Journal of Information Security Science, Volume: 11 Issue: 2. https://ajindex.com/articles/1588986

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