In mathematics and computer programming, exponentiating by squaring is a general method for fast computation of large positive integer powers of a number.
Oct 18, 2011 · We present in this section new exponentiation algorithms which simultaneously benefit from efficiency of the atomicity principle and immunity ...
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Jun 13, 2018 · i managed to find my mistakes so here is a proper code for future searches that end up here def square_and_multiply_always(base, exp, ...
An exponentiation is basically a sequence of multiplications and squarings, but this sequence may reveal exponent bits to an attacker on an unprotected ...
Recently, a novel square-always exponentiation algorithm based on trading multiplications for squarings is proposed.
When a computation involving a secret occurs on an embedded devices, side-channels (power, EM) may be spotted to search for leakages. Kocher introduced in 1999 ...
Mar 12, 2012 · With repeated squaring there are several approaches. We might first compute x2=x∗x, x4=(x2)∗(x2), x8=(x4)∗(x4), x16=(x8)∗(x8). That is 4 ...
Embedded exponentiation techniques have become a key concern for security and efficiency in hardware devices using public key cryptography.
Dec 17, 2015 · Repeated squaring is just a special case of regular modular exponentiation and so the latter method is obviously more flexible.
Abstract. Embedded exponentiation techniques have become a key concern for security and efficiency in hardware devices using public key cryptography.