1.20.1 Attribute Modifiers for player jumping

[Spyer]

How can I change player jump height with attributes modifiers?

I want to make boots that increase the strength of the jump. I want to make it like the jump boost effect works.

I know that I can give jump boost effect to player every time when he jumps but there are several problems with this solution.

1) I can give jump boost effect of exact integers. This mean I can't give jump boost level between 1 and 2 (1.875 and 2.5 blocks).

2) The sign in the inventory. I can cancel event that show all these signs but that means when the boots will be on the player he will not see signs of others effects.

 

How can I change player jump height with attributes modifiers?