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IMPLEMENTATION OF KARATSUBA ALGORITHM USING POLYNOMIAL

Multiplication Sudhanshu Mishra, Manoranjan Pradhan

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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.

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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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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: Multiplication (music), Multiplication algorithm, Arithmetic, Multiplier (economics), Mathematics, Cryptosystem, Computer science, Algorithm

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