Abstract
Permutations play an important role in the field of data security, representing a substantial contribution to increase the diffusion of the encryption process and many cryptosystems make use of them . However, in general, the literature on the subject reports very few results concerning those aspects of a permutation that make it atractive for cryptographic purposes. In this paper the subject is considered and, in the search for cryptographically strong permutations to be used in private or public cryptosystems, the problem of counting the number of permutations of degree n that fix i elements is approached.
Highlights
Exemplo 1 - A difusao 6tima em uma cifra iterativa e obtida quando qualquer sfmbolo de texto clara influencia todos os sfmbolos de texto cifrado em um mimero mfnimo de rodadas. 0 embaralharnento armenia (Ea), responsavel pela difusao 6tima no cripto-sistema SAFER+ e urn elemento de ordem 70 do grnpo simetrico 8 16
Seus interesses de pesqnisa incluem criptografia, processamento digital de sinais e comunicag6es m6veis
Summary
Abstract- Permutations play an important role in the field of data security, representing a substantial contribution to increase the diffusion of the encryption process and many cryptosystems make use of them. In this paper the subject is considered and, in the search for cryptographically strong permutations to be used in private or public cryptosystems, the problem of counting the number ofpermutations of degree n that fix i elements is approached. Urn exemplo mais recente e o cripto-sistema SAFER+ (Secure and Fast Encryption Routine), candidato ao padrao AES (Advanced Encryption Standard) que substituira oDES [3]. SAFER+ e uma cifra iterativa que emprega uma permutac;lio sobre blocos de 16 caracteres construida de modo a produzir o maximo de difusao no miuimo derodadas [4]. Cifras baseadas em c6digos para controle de erros, quer sejam de chave publica [5] ou privada [6], se fundamentam na modificac;ao da estrnmra de urn c6digo linear, modifica-
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