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Duemong et al., 2018 - Google Patents

Applying Pell Numbers for Efficient Elliptic Curve Large Scalar Multiplication

Duemong et al., 2018

Document ID
6362554651599508647
Author
Duemong F
Preechaveerakul L
Publication year
Publication venue
2018 22nd International Computer Science and Engineering Conference (ICSEC)

External Links

Snippet

One of the most effective techniques of cryptography is the Elliptic Curve Cryptography (ECC) which is currently used widely. The ECC provides a high level of security with a smaller key size and faster calculation. The scalar multiplication using points on a curve is …
Continue reading at ieeexplore.ieee.org (other versions)

Classifications

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    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724—Finite field arithmetic
    • G06F7/725—Finite field arithmetic over elliptic curves
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    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724—Finite field arithmetic
    • G06F7/726—Inversion; Reciprocal calculation; Division of elements of a finite field
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    • H04L9/3066—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves
    • H04L9/3073—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves involving pairings, e.g. identity based encryption [IBE], bilinear mappings or bilinear pairings, e.g. Weil or Tate pairing
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    • H04L9/0841—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these involving Diffie-Hellman or related key agreement protocols
    • H—ELECTRICITY
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    • H04L2209/12—Details relating to cryptographic hardware or logic circuitry

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