Block encryption CTR (counter). Should the initial value of the counter be kept secret?

Question

Programming

Block encryption CTR (counter mode) .
Should the initial value of the counter be kept secret?
PS for example, the initialization vector in CBC (chaining mode) is not a secret
Thank you.

Answer 1

No, it shouldn't. Even in strict-strict GOST 28147-89, the initial value of the counter (sync message) is transmitted in the channel in clear text (clause 3.1.6).
But you must ensure that it is non-repeatable within the lifetime of the key, otherwise the generated gamma will be identical between the two ciphertexts.