Quaternion Order and Coding Theory
نویسندگان
چکیده
We shown the quaternion orders OZ[2] ' ( √ 2,−1)Z[2] and OZ[3] ' (3+2 √ 3,−1)Z[3] that appear in applications of the coding theory [2] are not maximal orders in the quaternion algebras AQ(2) ' ( √ 2,−1)Q(2) and AQ(3) ' (3 + 2 √ 3,−1)Q(3), respectively. Furthermore, we identify the maximal orders that containing these orders.
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تاریخ انتشار 2012