[PDF] Top 20 Secure Binary Field Multiplication
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Secure Binary Field Multiplication
... scalar multiplication (point addition and doubling) consists of field arithmetic including addition/subtraction, multipli- cation/squaring and inversion ...operations, multiplication/squaring is the ... See full document
12
Polynomial multiplication over binary finite fields: new upper bounds
... nomial multiplication turns out to be a costly ...a binary Edwards curve [5], a 251-bit single-scalar multiplication requires 44,679,665 bit operations, 43,011,084 of which (about 96%) are for ... See full document
21
Efficient and Low-complexity Hardware Architecture of Gaussian Normal Basis Multiplication over GF(2m) for Elliptic Curve Cryptosystems
... by powers of 2 and low-cost blocks for multiplication by normal elements of the binary field. Since the exponents are powers of 2, the modules are implemented by some simple cyclic shifts in the ... See full document
12
A new algorithm for signed binary representation and application in mobile phones
... more secure than many other cryptosystems such as, RSA AlGamal, when they used the same key ...scalar multiplication, it is the operation to compute , where are points on the elliptic curve and r is any ... See full document
23
Software Implementations of Elliptic Curve Cryptography
... instructions, binary field multiplications, shift operations, and most significant 1, which target the time consuming operations in ...as binary field multiplication instructions, can ... See full document
27
High-Performance Architecture of Elliptic Curve Scalar Multiplication Over GF (2m)
... ABSTRACT: In the present era, the communication field has grown tremendously. Applications such as online banking, wireless sensor networks, mobile communication etc. increased the need for security in resource ... See full document
6
Some New Results on Binary Polynomial Multiplication
... for multiplication of polynomials over the binary ...the binary field and one multiplication of one-third size polynomials over the finite field with four ...the ... See full document
22
On the Communication required for Unconditionally Secure Multiplication
... statistically secure against static corruption of at most t of the n ...point-to-point secure channels are available, and protocols are al- lowed to have dynamic communication patterns (in a certain sense ... See full document
30
Multifunction Residue Architectures for Cryptography
... Montgomery multiplication in GF(p) and GF(2 n ) is developed and the necessary conditions for the system parameters (number of moduli channels, modulus word length) are ...Montgomery multiplication in GF(p) ... See full document
10
Secure Computation with Constant Communication Overhead using Multiplication Embeddings
... extension field of a constant-size base field F ...found secure computation of size-m boolean circuits using linear communication from more diverse cryptographic ...the secure computation of ... See full document
27
Fast point multiplication algorithms for binary elliptic curves with and without precomputation
... and binary field elliptic curve cryptographic ...of binary elliptic curves, the TLS protocol supports a selection of several standardized random curves as well as Koblitz curves [23] at the 80-, ... See full document
17
Fast Software Implementation of Binary Elliptic Curve Cryptography
... Montgomery [15] introduced a fast approach for this point multiplication. It uses the fact that the sum of two points whose difference is known, can be eval- uated with a procedure that involves only the ... See full document
19
Improved Side-Channel Analysis of Finite-Field Multiplication
... The core idea of the fresh re-keying countermeasure originally proposed in [MSGR10] for block cipher algorithm is to create a new “session” key from a public nonce for each new processing of the encryption algorithm. It ... See full document
26
Low Power Finite Field Multiplication with Wireless Security Applications
... the binary extension field size, , is required to be in the order of ...one multiplication takes clock cycles making the operation extremely slow for most ... See full document
97
Serial-Out Bit-Stage Mastrovito Multiplers for High Speed Hybrid Double Multiplication Architecture
... point multiplication unified and complete, but they compared the results of the multiplication of the point of the proposed binary generic curves and slow The four parallel finite field ... See full document
5
DESIGN AND VERIFICATION OF FAST 32 BIT BINARY FLOATING POINT MULTIPLIER BY INCREASING SPEED OF MANTISSA MULTIPLICATION
... on Field Programmable Gate Array ...of binary numbers. This Paper presents a fast single precision binary floating point ...of multiplication. All basic modules of this binary floating ... See full document
10
Performance Increasing Approaches For Binary Field Inversion
... There can be distinguished several operations over GF 2 m field elements [4]: addition, multiplication, squaring, multiplicative inversion and exponentiation. Researches show [4, 7] that execution time ... See full document
10
Redundant Radix-4 Arithmetic Coprocessor Design Using VHDL
... important field of ...for multiplication of binary numbers that are easily being implemented on a VLSI ...array multiplication that requires O(n) time to multiply 2 n- bit binary ... See full document
6
Hybrid Double Multiplier Architecture For Elliptic Curve Cryptography
... such secure web server and systems using big ...point multiplication of ECC targeting high performance ...point multiplication on binary Edwards, generalized Hessian curves using a hybrid ... See full document
11
Faster Binary-Field Multiplication and Faster Binary-Field MACs
... one multiplication for every 16 bytes of input, so it cannot afford more than ...to multiplication in F 2 128 , taking 3t cycles plus some cycles for latency, additions, and ... See full document
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