block cipher and stream cipher are two symmetrical ciphers, which mostly used in design different cipher systems. It is a good idea for mixing stream cipher with block cipher in order to design a new crypt-system. in your opinion, which is efficient secure cipher, block cipher inside stream cipher or stream cipher inside block cipher?
It is not important who of them inside the other, but it is important that the system meets the overall requirements of encryption systems of security : confidentiality, integrity, authorization and non-repudiation. In addition to easy to implement, has protection against known attack methods.
It is true that the choice of encryption architecture could be useful to achieve a good level of security and speed.
However, for a symmetric crypto-system, the security is guaranteed by the ultra sensitivity of the encryption sequences (keys), the keys space of encryption, the random nature of its keys, and the strategy of encryption.
In return, to satisfy the speed constraints, crypto-systems whose strategy is to generate the keys per stream, before applying a block cipher, are preferable to those generating keys by block, before doing a stream cipher.
i suggest to design a new symmetric crypt-system according to stream cipher inside block cipher. you can use stream cipher to generate keys for block cipher.
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