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field arithmetic operation circuit  (Galois Inc)

 
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    Galois Inc field arithmetic operation circuit
    Field Arithmetic Operation Circuit, supplied by Galois Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/field+arithmetic+operation+circuit/field+arithmetic+operation+circuit/us09317352-13-2-17
    Average 90 stars, based on 1 article reviews
    field arithmetic operation circuit - by Bioz Stars, 2026-10
    90/100 stars

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    Article Title: Galois field arithmetic operation circuit and memory device
    Article Snippet: A conventional Galois field arithmetic operation circuit, for example, a four degree polynomial illustrated in FIG. 12, after coefficients (p0, p1, p2, p3, p4) of an error location detection polynomial P(X) are fixed, sequentially inputs 1(=α^0), α(=α^1), α^2, α^3, .

    Article Title: Galois field arithmetic operation circuit and memory device
    Article Snippet: The present disclosure relates to a Galois field arithmetic operation circuit being used as an error detection & correction circuit, and a memory device.

    Article Title: Galois field arithmetic operation circuit and memory device
    Article Snippet: The Galois field arithmetic operation circuit, as will be described later, reduces a circuit size using Galois field and linearity of each section of the error location detection polynomial.

    Article Title: Galois field arithmetic operation circuit and memory device
    Article Snippet: Thus, a circuit size of a Galois field arithmetic operation circuit may be reduced as compared with a Galois field arithmetic operation circuit calculating an error location detection polynomial at every element.

    Article Title: Galois field arithmetic operation circuit and memory device
    Article Snippet: Thus, in the Galois field arithmetic operation circuit 34, a size of an arithmetic operation circuit with respect to a linear function (σ1X+σ2X^2+σ4X^4+ .

    Plasmid Preparation:

    Article Title: Galois field arithmetic operation circuit and memory device
    Article Snippet: Japanese Patent No. 06-314979, which is incorporated by reference herein in its entirety, describes a Galois field multiplier circuit that uses a Galois field arithmetic operation circuit by finite field (Galois field) (GF(2^m)). .. The Galois field arithmetic operation circuit, when doing multiplication of two elements vector-expressed by m-bits on the Galois field (GF(2^m)), operates an exclusive OR (EXOR) with respect to components of high-order bits except a low-order m-th bit during the multiplication operation and obtains a multiplied vector output by converting the operational output into a vector expression of m bits by a given primitive polynomial (f(X)), and then performing an exclusive OR (EXOR) on the vector expression and a component of a low-order m-th bit. .. Accordingly, a Galois field arithmetic operation circuit attempts simplification of a multiplication circuit constitution.

    Expressing:

    Article Title: Galois field arithmetic operation circuit and memory device
    Article Snippet: Japanese Patent No. 06-314979, which is incorporated by reference herein in its entirety, describes a Galois field multiplier circuit that uses a Galois field arithmetic operation circuit by finite field (Galois field) (GF(2^m)). .. The Galois field arithmetic operation circuit, when doing multiplication of two elements vector-expressed by m-bits on the Galois field (GF(2^m)), operates an exclusive OR (EXOR) with respect to components of high-order bits except a low-order m-th bit during the multiplication operation and obtains a multiplied vector output by converting the operational output into a vector expression of m bits by a given primitive polynomial (f(X)), and then performing an exclusive OR (EXOR) on the vector expression and a component of a low-order m-th bit. .. Accordingly, a Galois field arithmetic operation circuit attempts simplification of a multiplication circuit constitution.



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