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IMPLEMENTATION OF KARATSUBA ALGORITHM USING POLYNOMIAL MULTIPLICATION

Sudhanshu Mishra, Manoranjan Pradhan

Open publisher page 7 citations

Abstract

Efficiency in multiplication is very important in applications like signal processing, cryptosystems and coding theory. This paper presents the design of a fast multiplier using the Karatsuba algorithm to multiply two numbers using the technique of polynomial multiplication. The Karatsuba algorithm saves coefficient multiplications at the cost of extra additions as compared to the ordinary multiplication method. The Karatsuba algorithm is more efficient for multiplication of large numbers.

About this research paper

What this paper is about

Efficiency in multiplication is very important in applications like signal processing, cryptosystems and coding theory. This paper presents the design of a fast multiplier using the Karatsuba algorithm to multiply two numbers using the technique of polynomial multiplication. The Karatsuba algorithm saves coefficient multiplications at the cost of extra additions as compared to the ordinary multiplication method. The Karatsuba algorithm is more efficient for multiplication of large numbers.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Efficiency in multiplication is very important in applications like signal processing, cryptosystems and coding theory. This paper presents the design of a fast multiplier using the Karatsuba algorithm to multiply two numbers using the technique of polynomial multiplication. The Karatsuba algorithm saves coefficient multiplications at the cost of extra additions as compared to the ordinary multiplication method. The Karatsuba algorithm is more efficient for multiplication of large numbers.

Key concepts: Computer science, Multiplication (music), Arithmetic, Algorithm, Polynomial, Mathematics, Combinatorics, Mathematical analysis

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