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Extension filed multiplication program and extension filed multiplication device

Countries: United States

Application No.: US8090099

*Abstract: An encrypting/decryptingprogram, and encrypting/decrypting device, and an extension field multiplication device enabling high-speed multiplication ofan extension field while enabling selection of an arbitrary key length are provided. When two elementsA={a₀, a₁, a₂, …a_m-1}' B={b₀, b₁, b₂, …b_m-1} of anextension filed F_p^m in which a prime number and p is used as a characteristic andwhich has an extension degree m are multiplied, a positive integer k such that k_m+1 is a prime number and p is a primitive element in the F_km+1 is specified. A computation using the two elements A, B as two elements in the extension field F_p^km in which the prime number p is the characteristic and which has an extension degree km is performed using thepositive integer k. By using the computation result, the result of multiplication of the elements of the extension field F_p^m of an extension degree m which is apartial field is determined.

*IP Issue Date: None

*IP Type: Utility

Country/Region: USA

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