One can use block ciphers to construct hash functions, but they are not very secure (or are more complex to construct) unless the block cipher has a big block size (such as 256 bits).

Unlike traditional Cipher Block Chaining (CBC) modes, the Fast Cipher Block Chaining (FCBC) method, which is derived from CBC, reduces the encryption time per block by 15% to 25%.

Zero-correlation linear cryptanalysis is an important method to analyze the security of block ciphers. But there are few works on zero-correlation linear attacks combined with the related-key setting.