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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...
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...
In this paper, we give a generalization of Lucas addition chains, where subtraction is allowed. We call them ''Lucas addition-subtraction chain''.
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...

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