have a mode of operation that might increase security and make the ciphertext more random.
You can have the plaintext divided into blocks and have each block pass trough the initialization vector a new initialization vector is generated for each block each block will be XORed with the previous block before being encrypted
this mode has the features of ECB mode because it divides the plaintext into blocks and the features of CBC because an initialization vector is used on each block of plaintext and each block will be XORed with the previous block before being encrypted
you can call it electronic cipher block because the plaintext is divided into blocks and call it cipher block chaining because each block will go through an initalialization vector before being XORed with the previous block before being encrypted and can call it ECBC mode Electronic Code Block Chaining.
But will this new mode of operation idea be secure?
Mathematically, the idea looks like this:
Given, $P_1,P_2,P_3$ and $k_1,k_2,k_3$, generate $IV_1$ randomly, and compute $C_1=E_{k_1}(P_1 \oplus IV_1)$. Then set $IV_2=C_1$ and compute $C_2=E_{k_2}(P_2 \oplus IV_2)$, and set $IV_3=C_2$, and compute $C_3=E_{k_3}(P_3 \oplus IV_3)$.
