The ability to create beliefs about the consequences of our actions, also known as goal-directed learning, is a key facet of cognition and it provides the basis for rational decision-making. Goal-directed learning arises from a distributed neural circuit including the prefrontal, posterior parietal and temporal cortices. However, the role of cortico-cortical functional interactions remains unclear. To tackle this question, we combined information decomposition theory with human magnetoencephalography (MEG) and studied whether and how learning signals are encoded through neural interactions. Our findings revealed that 'information gain' - or the decrease in uncertainty regarding the causal relationship between an action and its consequence - is represented within a distributed cortical network, incorporating the visual, parietal, lateral prefrontal, and ventromedial/orbital prefrontal cortices. Remarkably, cortico-cortical interactions encoded information gain in a synergistic manner, beyond what individual regions represented alone. Synergistic interactions encoded information gain at the level of pairwise and higher-order relations, such as triplets and quadruplets. Higher-order synergistic interactions were characterised by long-range relations gravitating over the ventromedial and orbitofrontal cortices, which played a receiving role in the broadcasting of information gain over cortical circuits. Overall, the current study provides evidence that information gain is encoded in both synergistic and higher-order functional interactions, as well as through the broadcasting of information gain signals toward the prefrontal reward circuitry. Moreover, our research offers a new perspective on how information relevant to cognition is encoded and broadcasted within distributed cortical networks and brain-wide dynamics.