Systems and methods generate reasonably secure hash values at relatively few CPU cycles per byte. An example method includes, for each of a plurality of packets, injecting the packet into an internal state that represents an internal hash sum, mixing the internal state using multiplication, and shuffling the result of the multiplication so that bytes with highest quality are moved to locations that will propagate most widely in a next multiplication operation. Each of the plurality of packets include data from an input to be hashed. In some implementation, a last packet for the input is padded. The method may also include further mixing the internal state using multiplication after processing the plurality of packets and providing, to a requesting process, a portion of the final internal state as a hash of the input.