Erik Nygren (@erik.nygren.org)

SoK: Rijndael-256 Most symmetric modes of encryption that rely on PRP primitives are limited by the birthday bound over the block size (can’t encrypt more than $2^{n/2}$ blocks). This could be a severe limitation if current block width of 128 is used (can’t encrypt more than $2^{64}$ blocks) for cloud systems that transact a large amount of data. This limitation can be overcome by either realizing a mode of encryption based on a PRF (that doesn’t suffer from the birthday bound) or by using a wider block cipher like Rijndael−256 which allows us to encrypt $2^{128}$ blocks. In this paper, we focus on the wider block method as manifested in Rijndael−256. We survey theoretical and practical security for Rijndael-256. We also look at implementations of Rijndael−256 that take advantage of vectorized AES−NI which optimizes performance. https://eprint.iacr.org/2026/1035