Therefore, in general, increased down payment will not negate bad credit. One needs to meet minimum credit guidelines regardless of loan to value. An example would be Fannie Mae requiring a 620 credit score for conforming financing. You can put down 90% and still be denied because of credit score. This will be true for any type of traditional financing such as conforming conventional or FHA.
Regarding non-traditional financing, then anything goes and you may find seller financing or private money that would certainly take your down payment into consideration.
You have 2 great answers already, BUT they are out of state. You need to talk to a local mortgage person and I have some great people for you to talk to. If your downpayment is over 20% of sales price, there could be some options, there is no giving a specific answer until you make that appointment and your credit history is reviewed. I would love to help you, so please don't hesitate to call me for help.