タイトル | Normal basis of finite field GF(2 super m) |
著者(英) | Omura, J. K.; Wang, C. C.; Pei, D. Y. |
著者所属(英) | California Univ.|Academia Sinica|Jet Propulsion Lab., California Inst. of Tech. |
発行日 | 1986-03-01 |
言語 | eng |
内容記述 | Massey and Omura (1981) recently developed a new multiplication algorithm for Galois fields based on the normal basis representation. This algorithm shows a much simpler way to perform multiplication in finite field than the conventional method. The necessary and sufficient conditions are presented for an element to generate a normal basis in the field GF(2 super m), where m = 2 super k p super n and p super n has two as a primitive root. This result provides a way to find a normal basis in the field. |
NASA分類 | NUMERICAL ANALYSIS |
レポートNO | 86A37899 |
権利 | Copyright |
URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/384579 |