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Method for Complete Atomic Blocks for Elliptic Curves in Jacobian Coordinates over Prime Fields Countermeasure for Simple-Side Channel Attacks and C-Safe-Fault Attacks for Left-to-Right Algorithms
Method for Complete Atomic Blocks for Elliptic Curves in Jacobian Coordinates over Prime Fields Countermeasure for Simple-Side Channel Attacks and C-Safe-Fault Attacks for Left-to-Right Algorithms
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机译:素数场上雅可比坐标上椭圆曲线的完整原子块的方法左右算法的单边通道攻击和C-安全故障攻击对策
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摘要
The present invention describes a method which improves the safety aspects of the previously published atomic blocks. This method builds new sets of atomic blocks designed to protect against both simple side-channel attacks and C-safe fault attacks for scalar multiplication for elliptic curves over prime fields. These atomic blocks are structured with the sequence of field operations (S, N, A, A, M, A), Squaring, Negation, Addition, Addition, Multiplication, Addition. These atomic blocks are applied to various operations in Jacobian coordinates: doubling, tripling, and quintupling, as well as mixed Jacobian-affine addition for use in left-to-right scalar multiplication.
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