In this letter we assume that F_q is a finite field with q elements, where q is a power of 2. Let N={x^2+x|x∈F_q} and choose a fixed element α of F_q not belonging to N. Theorem 1. Under affine transformations any q...In this letter we assume that F_q is a finite field with q elements, where q is a power of 2. Let N={x^2+x|x∈F_q} and choose a fixed element α of F_q not belonging to N. Theorem 1. Under affine transformations any quadric in AG(n, F_q), where q is even, can be carried into a quadric with one of the following quadratic equations as its equation:展开更多
文摘In this letter we assume that F_q is a finite field with q elements, where q is a power of 2. Let N={x^2+x|x∈F_q} and choose a fixed element α of F_q not belonging to N. Theorem 1. Under affine transformations any quadric in AG(n, F_q), where q is even, can be carried into a quadric with one of the following quadratic equations as its equation:
