ON BOUNDS FOR BALANCED EMBEDDING DEGREE (Q5150737)

scientific article; zbMATH DE number 7310339

Language	Label	Description	Also known as
English	ON BOUNDS FOR BALANCED EMBEDDING DEGREE	scientific article; zbMATH DE number 7310339

Statements

instance of

scholarly article

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title

ON BOUNDS FOR BALANCED EMBEDDING DEGREE (English)

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author

S. A. Novoselov

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published in

Prikladnaya diskretnaya matematika

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publication date

15 February 2021

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full work available at URL

http://mathnet.ru/eng/pdm546

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zbMATH Keywords

hyperelliptic curve cryptography

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pairings

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embedding degree

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discrete logarithm problem

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MaRDI profile type

MaRDI publication profile

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cites work

Reducing elliptic curve logarithms to logarithms in a finite field

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Q2739458

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Q4783728

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On the Minimal Embedding Field

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On the Security of Pairing-Friendly Abelian Varieties over Non-prime Fields

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Aspects of Pairing Inversion

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A New Index Calculus Algorithm with Complexity $$L(1/4+o(1))$$ in Small Characteristic

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A Heuristic Quasi-Polynomial Algorithm for Discrete Logarithm in Finite Fields of Small Characteristic

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The Weil pairing, and its efficient calculation

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A taxonomy of pairing-friendly elliptic curves

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Pairings on hyperelliptic curves

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Monte Carlo Methods for Index Computation (mod p)

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An improved algorithm for computing logarithms over&lt;tex&gt;GF(p)&lt;/tex&gt;and its cryptographic significance (Corresp.)

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The Past, Evolving Present, and Future of the Discrete Logarithm

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Computing Discrete Logarithms in $${\mathbb F}_{3^{6 \cdot 137}}$$ and $${\mathbb F}_{3^{6 \cdot 163}}$$ Using Magma

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Weakness of $\mathbb{F}_{3^{6 \cdot 1429}}$ and $\mathbb{F}_{2^{4 \cdot 3041}}$ for discrete logarithm cryptography

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Technical history of discrete logarithms in small characteristic finite fields. The road from subexponential to quasi-polynomial complexity

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The Multiple Number Field Sieve with Conjugation and Generalized Joux-Lercier Methods

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Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case

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The multiple number field sieve for medium- and high-characteristic finite fields

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A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves

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Constructive and destructive facets of Weil descent on elliptic curves

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Improved agreeing-gluing algorithm

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A double large prime variation for small genus hyperelliptic index calculus

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A general framework for subexponential discrete logarithm algorithms

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An $L(1/3)$ discrete logarithm algorithm for low degree curves

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Computing in the Jacobian of a Hyperelliptic Curve

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Q4664851

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Advances in Elliptic Curve Cryptography

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On the Lambert $w$ function

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Hyperelliptic Pairings

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Q4474195

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Constructing Pairing-Friendly Genus 2 Curves with Ordinary Jacobians

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A Generalized Brezing-Weng Algorithm for Constructing Pairing-Friendly Ordinary Abelian Varieties

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Pairing-Friendly Hyperelliptic Curves with Ordinary Jacobians of Type y 2 = x 5 + ax

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Generating More Kawazoe-Takahashi Genus 2 Pairing-Friendly Hyperelliptic Curves

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Constructing pairing-friendly hyperelliptic curves using Weil restriction

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Constructing Pairing-Friendly Genus 2 Curves with Split Jacobian

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Abelian Varieties with Prescribed Embedding Degree

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Selecting cryptographic key sizes

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Identifiers

zbMATH Open document ID

1490.14045

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DOI

10.17223/20710410/32/5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5150737