Consider the variant of DES$-$X$,$ with $2$ keys k$1,$ k$2,$ where the encryption of a

plain text M is done as follows:

Enck$1,$k$2$

$($M$)=$ Ek$1$

$($M $$ k$2),$

where E is the DES encryption function.

Do we have more security than classical DES in the above system?Consider that the anti palus is KPA capable $($has enough plaintext$-$ciphertext pairs$).$