| 摘要 |
PROBLEM TO BE SOLVED: To provide a method and an apparatus for basis conversion in a finite field. SOLUTION: There are provided efficient basis conversion matrices D<SB>sd</SB>and D<SB>ds</SB>and the basis conversion method in a finite field using the basis conversion matrices wherein a defining polynomial is a pentanomial represented by X<SP>n</SP>+X<SP>k(3)</SP>+X<SP>K(2)</SP>+X<SP>k(1)</SP>+1 and wherein exponents n, k(3), K(2) and k(1) satisfy the condition represented by n-K(3)>k(3)-k(1). In addition, the apparatus for performing the basis conversion is disclosed. As a pentanomial having a general form in an arbitrary degree is used as the defining polynomial, base conversion can be efficiently performed between a standard representation and a dual representation. Consequently, a dual basis multiplier can be efficiently implemented. COPYRIGHT: (C)2004,JPO
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