Tools
Sorted by:
Try your query at:
 |
 |
 |
 |
 |
 |
Results 1 - 10
of
981
VLSI DESIGN OF ITERATIVE KARATSUBA MULTIPLIER AND ITS EVALUATION
"... Multi-digit multiplication is widely used for various ap-plications in recent years, including numerical calculation, chaos arithmetic, primality testing. Systems with high per-formance and low energy consumption are demanded, es-pecially for image processing and communications with cryptography usi ..."
Abstract
- Add to MetaCart
using chaos. In this paper, hardware design of multi-digit integer multiplication is described and its VLSI realization is evaluated in terms of the cost and per-formance. A version of Karatsuba hardware using 0.18µm process can perform 512-bit multiplications 30 times faster than software at the area
VLSI Design of Karatsuba Integer Multipliers and Its Evaluation
"... Multidigit multiplication is widely used for various applications in recent years, including numerical calcula-tion, chaos arithmetic, and primality testing. Systems with high performance and low energy consumption are de-manded, especially for image processing and communica-tions with cryptography ..."
Abstract
- Add to MetaCart
is described and its VLSI realization is evaluated in terms of the cost, perform-ance, and energy consumption. We present two design choices of the Karatsuba hardware: RKM (Recursive Karatsuba Multiplier) and IKM (Iterative Karatsuba Mul-tiplier). We found that RKM has less area cost than WTM (Wallace Tree
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
- California Institute of Technology, Pasadena
, 2008
"... Abstract. Compressive sampling offers a new paradigm for acquiring signals that are compressible with respect to an orthonormal basis. The major algorithmic challenge in compressive sampling is to approximate a compressible signal from noisy samples. This paper describes a new iterative recovery alg ..."
Abstract
-
Cited by 770 (13 self)
- Add to MetaCart
Abstract. Compressive sampling offers a new paradigm for acquiring signals that are compressible with respect to an orthonormal basis. The major algorithmic challenge in compressive sampling is to approximate a compressible signal from noisy samples. This paper describes a new iterative recovery
VLSI Implementation of Karatsuba Algorithm and Its Evaluation
"... VLSI implementation of Karatsuba algorithm for multi-digit multiplication was investigated. We designed 32-bit recursive Karatsuba multiplier (RKM) and found that its critical path delay and area cost are 9.44ns and 0.228mm 2, respectively. Next we designed and evaluated RKM of larger bits. For bit ..."
Abstract
-
Cited by 1 (1 self)
- Add to MetaCart
of RKM as combinational circuits for iterative Karatsuba multiplier (IKM) to have better cost performance. keywords:multi-digit multiplier, Karatsuba, VLSI 1
KARATSUBA ALGORITHM
, 2005
"... The Karatsuba algorithm (KA) for multiplying two polynomials was introduced in 1962 [3]. It saves coefficient multiplications at the cost of extra additions compared to the schoolbook or ordinary multiplication method. The basic KA is performed as follows. Consider two degree-1 polynomials A(x) and ..."
Abstract
- Add to MetaCart
The Karatsuba algorithm (KA) for multiplying two polynomials was introduced in 1962 [3]. It saves coefficient multiplications at the cost of extra additions compared to the schoolbook or ordinary multiplication method. The basic KA is performed as follows. Consider two degree-1 polynomials A
Abstract On fully parallel Karatsuba Multipliers for ¢¡¤£¦¥¨§�©
"... In this paper we present a new approach that generalizes the classic Karatsuba multiplier technique. In contrast with versions of this algorithm previously discussed [1, 2], in our approach we do not use composite fields to perform the ground field arithmetic. The most attractive feature of the new ..."
Abstract
- Add to MetaCart
In this paper we present a new approach that generalizes the classic Karatsuba multiplier technique. In contrast with versions of this algorithm previously discussed [1, 2], in our approach we do not use composite fields to perform the ground field arithmetic. The most attractive feature of the new
Design and implementation of long-digit Karatsuba’s multiplier using tensor product formulation
- In The Ninth Workshop on Compiler Techniques for HighPerformance Computing
, 2003
"... Karatsuba’s multiplication algorithm uses three singledigit multiplications to perform one two-digit multiplication. If we apply Karatsuba’s multiplier recursively, it takes only 3 n single-digit multiplications to multiply a pair of 2 n-digit numbers. This is a significant improvement compared to 4 ..."
Abstract
-
Cited by 6 (4 self)
- Add to MetaCart
to 4 n single-digit multiplications using grade-school multiplier. In this paper, we will use tensor production formulation to express Karatsuba’s multiplication algorithm in both recursive and iterative form. Usually, Karatsuba’s algorithm is implemented as recursive program. With the iterative tensor
Iterative Karatsuba For Multivariate Polynomial Multiplication
"... This work deals with Karatsuba method for multivariate polynomials, not recursing on variables number, but using an iterative scheme, with an eye to a better parallelism exploitation. Integers base 2 and 3 expansions are used in order to access the needed data. ..."
Abstract
- Add to MetaCart
This work deals with Karatsuba method for multivariate polynomials, not recursing on variables number, but using an iterative scheme, with an eye to a better parallelism exploitation. Integers base 2 and 3 expansions are used in order to access the needed data.
Index Terms-ECC, Double Point Multiplication, Karatsuba Multiplier and Systolic Multiplier
"... Abstract-Elliptic Curve Cryptography is one of the most preferred public key Cryptography algorithms known for its security strength and reduced key size. This makes ECC most suitable for implementing the hardware security chip for providing security services in portable embedded devices. This pape ..."
Abstract
- Add to MetaCart
reduction, new low footprint hybrid multiplier is integrated. This hybrid multiplier integrates traditional Karatsuba Multiplier with systolic multiplier. The proposed hybrid multiplier does the initial recursion using the systolic algorithm while final small sized multiplications are accomplished using
MODÜLER KARATSUBA-OFMAN ÇARPICISI KULLANARAK
, 2012
"... fully defended the thesis entitled “DESIGN AND IMPLEMENTATION OF RSA CRYPTOSYSTEM USING PARTIALLY INTERLEAVED MODULAR KARAT-SUBA-OFMAN MULTIPLIER”, which he prepared after fulfilling the requirements specified in the associated legislations, before the jury whose signatures are below. ..."
Abstract
- Add to MetaCart
fully defended the thesis entitled “DESIGN AND IMPLEMENTATION OF RSA CRYPTOSYSTEM USING PARTIALLY INTERLEAVED MODULAR KARAT-SUBA-OFMAN MULTIPLIER”, which he prepared after fulfilling the requirements specified in the associated legislations, before the jury whose signatures are below.
Results 1 - 10
of
981
