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Addisjonkjede, also known as addition chain, is a sequence of integers where each term is the sum of two earlier terms in the sequence. The sequence typically starts with 1 and 2, and the goal is to reach a specific target number using the fewest possible additions. Addisjonkjede is a fundamental concept in computer science, particularly in the field of cryptography, where it is used to optimize the computation of modular exponentiation.

The length of an addisjonkjede is the number of additions required to generate the sequence. The shortest addisjonkjede for a given number is known as the minimal addisjonkjede. Finding the minimal addisjonkjede for a number is a challenging problem, and it has been studied extensively in the field of computer science.

Addisjonkjede has applications in various areas, including number theory, computer algebra, and cryptography. In cryptography, addisjonkjede is used to optimize the computation of modular exponentiation, which is a crucial operation in many cryptographic protocols. By using an efficient addisjonkjede, the number of multiplications required in modular exponentiation can be significantly reduced, leading to faster computations and improved security.

In conclusion, addisjonkjede is a powerful tool in computer science, with applications in number theory, computer algebra, and cryptography. Its ability to optimize the computation of modular exponentiation makes it an essential concept in the field of cryptography.