[NEW ALGORITHM] Implement Schoenhage-Strassen Algorithm – Fast Integer Multiplication

[divyalakshmi0]

Issue Title: Schoenhage-Strassen Algorithm – Fast Integer Multiplication

Description:

This issue proposes the implementation of the Schoenhage-Strassen Algorithm, a fast integer multiplication algorithm. It is an asymptotically efficient algorithm for multiplying large integers, using Fast Fourier Transforms (FFT) in its computation to achieve a time complexity of O(n log n log log n).

Key Features:

• Input: Two large integers for multiplication.
• Output: The product of the two integers.

Algorithm:

The Schoenhage-Strassen Algorithm leverages the Fast Fourier Transform (FFT) to multiply integers faster than traditional methods, making it highly efficient for very large numbers.

Importance:

The Schoenhage-Strassen Algorithm is significant in areas where large integer multiplication is crucial, such as cryptography, computational number theory, and scientific computing. Its speed and efficiency make it one of the go-to algorithms for fast integer multiplication when dealing with extremely large numbers.

Additional Notes:

The algorithm operates in O(n log n log log n) time, which is faster than classical methods for large integer multiplication. This implementation will include clear documentation and comparisons with other integer multiplication algorithms like Karatsuba and Toom-Cook.

Labels:

new algorithm, gssoc-ext, hacktoberfest, level1

---

Assignees:

• [x] Contributor in GSSoC-ext
• [x] Want to work on it

[divyalakshmi0]

Can I start to work on it sir @pankaj-bind ?

[pankaj-bind]

Do not create unnecessary issues until you complete the previous one.