If "intimation" means a hint or suggestion:
* Explicitness
* Directness
* Clarity
* Openness
If "intimation" means a threat or warning:
* Assurance
* Reassurance
* Comfort
* Guarantee
If "intimation" means a feeling of being told something:
* Ignorance
* Unawareness
* Uninformed
The best antonym will depend on the specific context in which "intimation" is used.