Elliptic Curve Arithmetic Sample Clauses

Elliptic Curve Arithmetic. ∈ × Cryptographic schemes based on ECC rely on scalar mul- tiplication of elliptic curve points. Given an integer k and a point P E(Fp), scalar multiplication is the process of adding P to itself k times. The result of this scalar mul- tiplication is denoted k P or kP . Point’s addition and point doubling form the basis to calculate EC scalar multiplication efficiently using the ad- dition rule together with the double-and-add algorithm or one of its variants. The detail description of ECC (includ- ing its point addition rule) can be found in various papers including [11, 26]. ∈ ∈ The security of ECC based protocols are based on in- tractability of Elliptic Curve Discrete Logarithm Problem (ECDLP). ECDLP state that: Given P, Q E, find an integer k Zp∗ such that Q = kP . It is relatively easy to calculate Q given k and P , but it is relatively hard to determine k given Q and P .
Sample 1
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Related to Elliptic Curve Arithmetic

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