ctr mode makes it possible to use a block cipher as a stream cipher but how strong will be the encryption in this mode ?encryptioncryptographyaes
Ultimately it depends what you mean by strong. For example from an encryption point of view, i.e. taking the ability of an attacker to decrypt your ciphertext without access to the key, it should be as strong as any other use of AES256 (there is some dicussion on differential analysis between individual cipher blocks with a known plain text but that would be a weakness of the encryption algorithm not of the CTR mode itself).
In the end whether CTR mode is appropriate will depends what you want to apply it to and how you implement it. A couple of things to bear in mind when using this mode would be: