'foundation of integrity' is correct and usable in written English.
You can use it to refer to a set of guiding principles that guide a person's behavior in all aspects of their life. For example, "We strive to live our lives on the foundation of integrity, always doing what is right and honest."
Surely, that has to be the foundation of integrity.
To be the change you want to see in the world, you have to build a foundation of integrity and authenticity and that starts with listening, learning, and understanding the needs and challenges of the people you want to advocate for and with.
The trust and respect our students and teachers share is built on a firm foundation of integrity.
In that way, illegal sports betting undercuts the foundation of integrity, fairness, clean competition, and uncertain outcomes -- the very reasons we love sports.
While there is currently no evidence suggesting any votes were changed, a hostile foreign power did gain access to voter registration databases — the vital foundation of election integrity.
The primary concern of Time's outside directors was the preservation of the "Time Culture". They believed that Time had become recognized in this country as an institution built upon a foundation of journalistic integrity.
The foundation of racing integrity reforms, a national, uniform policy covering the used of race day and pre-race medications and treatments, is still not in place.
"The foundation for integrity in our system of voting is the electoral roll," Mirabella told the newspaper.
The memo lays out four areas that agency policies should cover: the foundations of scientific integrity in government, public communication about science, the use of advisory committees, and the professional development of scientists.
Science, for all the benefits it has brought to our external world, has not yet provided scientific grounding for the development of the foundations of personal integrity -- the basic inner human values that we appreciate in others and would do well to promote in ourselves.
Because of its independent architecture, blockchain could potentially form the foundation of a high integrity tracking capability that is updated in a near instantaneous manner.
