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Constructing Multidimensional Differential Addition Chains and their Applications
differential addition chains side channel resistance elliptic curves
2017/4/12
We propose new algorithms for constructing multidimensional differential addition chains and for performing multidimensional scalar point multiplication based on these chains. Our algorithms work in a...
On Fast Calculation of Addition Chains for Isogeny-Based Cryptography
Addition chains post-quantum cryptography isogeny-based cryptosystems
2016/12/7
Addition chain calculations play a critical role in determining the efficiency of cryptosystems based on isogenies on elliptic curves. However, finding a minimal length addition chain is not easy; a g...
A generalization of the Lucas addition chains
public-key cryptography addition chain addition-subtraction chain
2011/7/25
In this paper, we give a generalization of Lucas addition chains, where subtraction is allowed. We call them ''Lucas addition-subtraction chain''.
A generalization of the Lucas addition chains
public-key cryptography / addition chain addition-subtraction chain Lucas chains
2012/3/27
In this paper, we give a generalization of Lucas addition chains, where subtraction is allowed. We call them ''Lucas addition-subtraction chain''. We also show that this new method gives minimal addit...