How do you find the discrete log?

Finding a discrete logarithm can be very easy. For example, say G = Z/mZ and g = 1. More specifically, say m = 100 and t = 17. Then logg t = 17 (or more precisely 17 mod 100).

How do you write a logarithmic function in Matlab?

Description. Y = log( X ) returns the natural logarithm ln(x) of each element in array X . If you want negative and complex numbers to return error messages rather than return complex results, use reallog instead.

How can you explain the discrete logarithm problem?

The discrete logarithm problem is defined as: given a group G, a generator g of the group and an element h of G, to find the discrete logarithm to the base g of h in the group G. Discrete logarithm problem is not always hard. The hardness of finding discrete logarithms depends on the groups.

Which algorithm is based on discrete logarithm?

This algorithm is sometimes called trial multiplication. It requires running time linear in the size of the group G and thus exponential in the number of digits in the size of the group. Therefore, it is an exponential-time algorithm, practical only for small groups G.

What is the use of discrete logarithm?

The term “discrete logarithm” is most commonly used in cryptography, although the term “generalized multiplicative order” is sometimes used as well (Schneier 1996, p. 501). In number theory, the term “index” is generally used instead (Gauss 1801; Nagell 1951, p.

What is the importance of discrete logarithms?

Aside from the intrinsic interest that the problem of computing discrete logarithms has, it is of considerable importance in cryptography. An efficient algorithm for discrete logarithms would make several authentication and key-exchange systems insecure.

How do you write Theta in Matlab?

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1. theta = pi/4;
2. result = 2*sin(theta); % <– if theta is in radians.
3. theta = 45;
4. result = 2*sind(theta); % <– if theta is in degrees.

Why is DLP hard?

DLP agents are, in almost all cases, kernel-based. This means that they hook deep into the operating system. As a result, they tend to dramatically slow down endpoints, crash systems and apps, and just generally make it difficult for people to get work done.

What is discrete logarithm in network security?

Logarithms for Modular Arithmetic With ordinary positive real numbers, the logarithm function is the inverse of exponentiation. This exponent i is referred to as the discrete logarithm of the number b for the base a (mod p). We denote this value as dloga.p(b). Many texts refer to the discrete logarithm as the index.

What is Theta command in MATLAB?

THETA evaluates theta functions of four types. Th = THETA(TYPE,V,M) returns values of theta functions evaluated for corresponding values of argument V and parameter M. TYPE is a type of the theta function, there are four numbered types. The arrays V and M must be the same size (or either can be scalar).

How do you handle negative and complex numbers in logarithm?

The log function’s domain includes negative and complex numbers, which can lead to unexpected results if used unintentionally. For negative and complex numbers z = u + i*w, the complex logarithm log (z) returns If you want negative and complex numbers to return error messages rather than return complex results, use reallog instead.

What is the domain of complex logarithm?

Description. The log function’s domain includes negative and complex numbers, which can lead to unexpected results if used unintentionally. For negative and complex numbers z = u + i*w, the complex logarithm log(z) returns.

What is the domain of the log function?

The log function’s domain includes negative and complex numbers, which can lead to unexpected results if used unintentionally. For negative and complex numbers z = u + i*w, the complex logarithm log (z) returns

What are loglogarithm values?

Logarithm values, returned as a scalar, vector, matrix, or multidimensional array. For positive real values of X in the interval ( 0, Inf ), Y is in the interval ( -Inf, Inf ). For complex and negative real values of X, Y is complex. The data type of Y is the same as that of X.