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We examine a generalization of the concept of Feistel net- works, which we call Unbalanced Feistel Networks (UFNs). Like conven- tional Feistel networks, UFNs consist of a series of rounds in which one part of the block operates on the rest of the block. However, in a UFN the two parts need not be of equal size. Removing this limitation on Feistel networks has interesting implications for designing ciphers secure against linear and dierential attacks. We describe UFNs and a termi- nology for discussing their properties, present and analyze some UFN constructions, and make some initial observations about their security. It is notable that almost all the proposed ciphers that are based on Feistel networks follow the same design construction: half the bits operate on the other half. There is no inherent reason that this should be so; as we will demonstrate, it is possible to design Feistel networks across a much wider, richer design space. In this paper, we examine the nature of the structure of Feistel-based ciphers. In particular, we examine the consequences of \unbalanced" structures in which dierent numbers of bits are used as input and output to the F-function in each round.

Unbalanced Feistel networks and block cipher design