Notions and relations for RKA-secure permutation and function families

@article{Kim2011NotionsAR,
  title={Notions and relations for RKA-secure permutation and function families},
  author={Jongsung Kim and Jaechul Sung and Ermaliza Razali and Raphael C.-W. Phan and Marc Joye},
  journal={Designs, Codes and Cryptography},
  year={2011},
  volume={60},
  pages={15-35}
}
The theory of designing block ciphers is mature, having seen significant progress since the early 1990s for over two decades, especially during the AES development effort. Nevertheless, interesting directions exist, in particular in the study of the provable security of block ciphers along similar veins as public-key primitives, i.e. the notion of pseudorandomness (PRP) and indistinguishability (IND). Furthermore, recent cryptanalytic progress has shown that block ciphers well designed against… 

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