From Pro Home Cooks - no fermentation or beer bug required - https://www.youtube.com/watch?v=i4QmFtcp25U
grate a bunch of ginger
one cup of sugar
half cup of honey
one cup of water
1/4 cup lemon juice
1/4 tsp yeast (any kind is fine)
10 cups of filtered water

1) Add the grated ginger, sugar, honey, and water to a pot. Infuse on low heat for about an hour. 
2) Strain. Remove solids. Optionally, flatten solids on parchment paper and dehydrate at 125F for 24hrs for ginger candy.
3) Add strained syrup to big container
4) Add 1/4 cup lemon juice
5) Add yeast. Mix gently until homogenous.
6) Add water. Mix. 
7) Funnel into bottles and burp each bottle daily.