搜索结果: 1-10 共查到“Koblitz Curves”相关记录10条 . 查询时间(0.046 秒)
A Novel Pre-Computation Scheme of Window τNAF for Koblitz Curves
Elliptic curve cryptography Koblitz curve Pre-computation
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2017/10/25
Let Ea:y2+xy=x3+ax2+1/F2mEa:y2+xy=x3+ax2+1/F2m be a Koblitz curve. The window ττ-adic nonadjacent-form (window ττNAF) is currently the standard representation system to perform scalar multiplications ...
Software implementation of Koblitz curves over quadratic fields
landmark paper Software implementation
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2016/6/12
In this work, we retake an old idea that Koblitz presented in his landmark paper, where he suggested the possibility of defining anomalous elliptic curves over the base field \F_4. We present a carefu...
On the Optimal Pre-Computation of Window $\tau$NAF for Koblitz Curves
public-key cryptography elliptic curve cryptosystem implementation
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2016/1/7
Koblitz curves have been a nice subject of consideration for both theoretical and
practical interests. The window τ -adic algorithm of Solinas (window τNAF) is the
most powerful method for computing...
Lightweight Coprocessor for Koblitz Curves: 283-bit ECC Including Scalar Conversion with only 4300 Gates
elliptic curve cryptosystem implementation public-key cryptography
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2015/12/29
We propose a lightweight coprocessor for 16-bit microcontrollers
that implements high security elliptic curve cryptography. It uses
a 283-bit Koblitz curve and offers 140-bit security. Koblitz curve...
Scalar Multiplication on Koblitz Curves using $\tau^2-$NAF
Code-verification voting Internet voting malicious voter PC
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2011/7/25
The paper proposes a $\tau^2-$NAF method for scalar multiplication on Koblitz curves, which requires asymptotically $0.215m$ point additions in $GF(2^m)$.
Scalar Multiplication on Koblitz Curves using $\tau^2-$NAF
implementation / Koblitz curve elliptic curve scalar multiplication tau^2 NAF
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2012/3/27
The paper proposes a $\tau^2-$NAF method for scalar multiplication on Koblitz curves, which requires asymptotically $0.215m$ point additions in $GF(2^m)$. For $\tau^2-$NAF method, point quading operat...
Arithmetic of Supersingular Koblitz Curves in Characteristic Three
elliptic curve cryptosystem implementation supersingular Koblitz curves scalar multiplication
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2010/8/17
We consider digital expansions of scalars for supersingular Koblitz curves in characteristic three. These are positional representations of integers to the base of $\tau$, where $\tau$ is a zero of th...
Minimality of the Hamming Weight of the -NAF for Koblitz Curves and Improved Combination with Point Halving
Hamming Weight Koblitz Curves Point Halving
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2009/2/18
In order to eciently perform scalar multiplications on elliptic
Koblitz curves, expansions of the scalar to a complex base associated
with the Frobenius endomorphism are commonly used. One such exp...
Provably Sublinear Point Multiplication on Koblitz Curves and its Hardware Implementation
Sublinear Point Multiplication Koblitz Curves Hardware Implementation
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2008/12/17
We describe algorithms for point multiplication on Koblitz
curves using multiple-base expansions of the form k = P a( 1)b
and k = P a( 1)b( 2 1)c: ...
Scalar Multiplication on Koblitz Curves using Double Bases
Scalar Multiplication Koblitz Curves Double Bases
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2008/10/30
The paper is an examination of double-base decompositions
of integers n, namely expansions loosely of the form
n =X
i;j
AiBj
for some base fA;Bg. This was examined in previous works [3, 4], in th...