Sentence examples for binary field from inspiring English sources

Wavelet decomposition has recently been generalized to binary field in which the arithmetic is performed wholly in GF(2).

We have shown further that the modular arithmetic for the binary field based on like-trinomials is equivalent to the arithmetic for the field based on trinomials.

The quaternary circuit for GF((22 2) shows a significant amount of savings in both transistor count and number of connections compared to the one that uses the binary field GF(24).

The XOR (binary field) operator is used instead of more general linear coding, similarly to[3].

Let (S,∗) be a commutative monoid and F 2 be the binary field.

However, this code functions in the binary field, meaning it cannot be employed in amplify-and-forward (AF) TWRNs.

A fast parallel architecture for the implementation of elliptic curve scalar multiplication over binary fields is presented.

For hardware implementations over extended binary fields, the Itoh Tsujii inversion algorithm (ITA) is the most efficient.

It has been demonstrated that the maximum error could be limited to 11-bit fractional accuracy for a 16-bit computation by appropriate regrouping of the binary fields of the number being processed.

In this paper, we propose a high performance elliptic curve cryptographic processor over GF(2163), one of the five binary fields recommended by National Institute of Standards and Technology (NIST) for Elliptic Curve Digital Signature Algorithm (ECDSA).

Meanwhile, the computational complexity per iteration in the proposed algorithm exponentially increases with the increased order of the non-binary field.