Abstract Algebra
... We consider designs covering an infinite plane. For each design, we consider the group of all rigid motions of R3 that preserves the design (see Section 3). Traditionally such a group is called the symmetry group of the design. For example, a blank plane allows arbitrary rotations, reflections, and ...
... We consider designs covering an infinite plane. For each design, we consider the group of all rigid motions of R3 that preserves the design (see Section 3). Traditionally such a group is called the symmetry group of the design. For example, a blank plane allows arbitrary rotations, reflections, and ...
18(3)
... 2. When the recurrence order is reducible to a least value k9 so that the generating function tH(£) /'F'(£)G(£) is reducible to a quotient th(t)/f(t)g(t) whose denominator is a polynomial of degree k, then what symmetric properties remain with this reduced generating function? Clearly, the least rec ...
... 2. When the recurrence order is reducible to a least value k9 so that the generating function tH(£) /'F'(£)G(£) is reducible to a quotient th(t)/f(t)g(t) whose denominator is a polynomial of degree k, then what symmetric properties remain with this reduced generating function? Clearly, the least rec ...
Introduction to Error Control Codes
... as the binary polynomial of least degree with roots 1,2,…, r. (提取 eqn 7.3 的最小公倍式，就会去除所有共轭域元素的最小多项式因子。 i.e. 每个因式不会有2 次的幂。) **In GF(2m) the product of two or more minimal polynomials divides xq-1+1, where q=2m, and therefore g(x) given by eqn (7.4) is a generator polynomial for a cyclic code. With ...
... as the binary polynomial of least degree with roots 1,2,…, r. (提取 eqn 7.3 的最小公倍式，就会去除所有共轭域元素的最小多项式因子。 i.e. 每个因式不会有2 次的幂。) **In GF(2m) the product of two or more minimal polynomials divides xq-1+1, where q=2m, and therefore g(x) given by eqn (7.4) is a generator polynomial for a cyclic code. With ...
