I have picked 3 words and encoded them using a secret cipher.

cater > dbuf6XP10PIde1555

reactor > sfbf5XQ10PIde1557

beg > cfif5XP10PIde1553

Any user with the trustworthyish badge may request one word of their choice to be encoded using my cipher. (Any number of trustworthyish users can participate, they each get one word.)

Your job is to figure out the full cipher. If anyone posts the solution before close, the market resolves to YES. Otherwise it resolves to NO. (Specifically, you need to come up with an algorithm that has the same outputs as mine for all input words.)

SHA256 hash of the answer: 7b72dbb71907944333763ff8e824af0fa6abc47a31587b2e14e6edb8afe610f6

For previous attempts, see: /IsaacKing/will-anyone-post-a-solution-to-the