I have several `\bigoplus` operators, indexed by i from 1 to d, using `\bigoplus_i`

Now, I want to use these operations on terms indexed by j from 1 to d. My first attempt to write this was
`\mathop{\bigoplus_i}_{j=1}^d`
which puts all subscripts and superscripts to the right.

I want the 'i' to be a subscript down and to the right, but I want 'j=1' to appear beneath the operator and 'd' to appear above. I've tried a few different ideas (using '\displaystyle') without getting what I wanted.

Finally, `\mathop{\bigoplus{}_i}_{j=1}^d` worked; but I'm not sure the spacing is ideal. Any suggestions? Thanks!