Add to ORKGThe Karatsuba multiplication algorithm is an algorithm for computing the product of two natural numbers represented in the binary number system. This means that the algorithm actually computes a function on bit strings. The restriction of this function to bit strings of any given length can be computed according to the Karatsuba multiplication algorithm by a finite instruction sequence that contains only instructions to set and get the content of Boolean registers, forward jump instructions, and a termination instruction. We describe the instruction sequences concerned for the restrictions to bit strings of the different lengths by uniform terms from an algebraic theory
Karatsuba discovered the first algorithm that accomplishes multiprecision integer multiplication wit...
The efficiency of number theory based cryptosystems correlatesdirectly to the efficiency of large in...
Multidigit multiplication is widely used for various applications in recent years, including numeric...
For each function on bit strings, its restriction to bit strings of any given length can be computed...
For each function on bit strings, its restriction to bit strings of any given length can be computed...
For each function on bit strings, its restriction to bit strings of any given length can be computed...
Every partial function from bit strings of a given length to bit strings of a possibly different giv...
Every partial function from bit strings of a given length to bit strings of a possibly different giv...
AbstractIn computer arithmetic, multiplication is one of the most significant operations. Multiplica...
In previous work carried out in the setting of program algebra, including work in the area of instru...
In program algebra, different instruction sets for Boolean registers are conceivable. In previous wo...
Karatsuba’s multiplication algorithm uses three singledigit multiplications to perform one two-digit...
In this work we generalize the classical Karatsuba Algorithm (KA) for polynomial multiplication to (...
A parameterized algebraic theory of instruction sequences, objects that represent the behaviours pro...
In this work we generalize the classical Karatsuba Algorithm (KA) for polynomial multiplication to (...
Karatsuba discovered the first algorithm that accomplishes multiprecision integer multiplication wit...
The efficiency of number theory based cryptosystems correlatesdirectly to the efficiency of large in...
Multidigit multiplication is widely used for various applications in recent years, including numeric...
For each function on bit strings, its restriction to bit strings of any given length can be computed...
For each function on bit strings, its restriction to bit strings of any given length can be computed...
For each function on bit strings, its restriction to bit strings of any given length can be computed...
Every partial function from bit strings of a given length to bit strings of a possibly different giv...
Every partial function from bit strings of a given length to bit strings of a possibly different giv...
AbstractIn computer arithmetic, multiplication is one of the most significant operations. Multiplica...
In previous work carried out in the setting of program algebra, including work in the area of instru...
In program algebra, different instruction sets for Boolean registers are conceivable. In previous wo...
Karatsuba’s multiplication algorithm uses three singledigit multiplications to perform one two-digit...
In this work we generalize the classical Karatsuba Algorithm (KA) for polynomial multiplication to (...
A parameterized algebraic theory of instruction sequences, objects that represent the behaviours pro...
In this work we generalize the classical Karatsuba Algorithm (KA) for polynomial multiplication to (...
Karatsuba discovered the first algorithm that accomplishes multiprecision integer multiplication wit...
The efficiency of number theory based cryptosystems correlatesdirectly to the efficiency of large in...
Multidigit multiplication is widely used for various applications in recent years, including numeric...