bytewise

In terms of bytes, or one byte at a time.

Our bitwise multiset attacks naturally extend to bytewise multiset attacks, because the multiset characteristics are based on the bytewise XOR-sum property. Tetsu Iwata, Jung Hee Cheon (26 November 2015), Advances in Cryptology – ASIACRYPT 2015: 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 -- December 3, 2015, Proceedings, Springer

In a bytewise fashion.