我想创建Hemming Matrix。我刚刚建造了Galois字段,就像乘法组一样。这就是我得到的:
MultiplicativeGroup = DeleteDuplicates[
NestList[
PolynomialMod[
PolynomialMod[(generating*#), irreducablePolynomial], 2] &, 1,
n]];
{1,a,a ^ 2,1 + a ^ 2,1 + a + a ^ 2,1 + a,a + a ^ 2}
之后我将其转换为二进制形式,如下所示:
CoefficientList[MultiplicativeGroup, a]
{{1},{0,1},{0,0,1},{1,0,1},{1,1,1},{1,1},{0,1,1 }} 但我坚持将其转换为二进制矩阵形式。它必须看起来像这样:
(0 0 1 1 1 0 1
0 1 0 0 1 1 1
1 0 0 1 1 1 0)
但实际上我不知道该怎么做。我无法转置它或做任何其他事情。你能帮帮我吗?
答案 0 :(得分:3)
array = {{1}, {0, 1}, {0, 0, 1}, {1, 0, 1}, {1, 1, 1}, {1, 1}, {0, 1, 1}}
PadLeft[#, 3] & /@ Reverse[array, 2] // Transpose
答案 1 :(得分:1)
我是这样做的:
generating = a^Mod[(2^m - 1)/n, m];
MultiplicativeGroup = DeleteDuplicates@
NestList[
PolynomialMod[
PolynomialMod[(generating*#), irreducablePolynomial], 2] &, 1,
n];
Print[MatrixForm[Reverse[Transpose[CoefficientList[MG, a, m]]]]];