```python
def flag_state(mask: int, catalog:    if not isinstance(mask, int)        raise ValueError("Mask must be a non-negative integer.")
    if mask <        raise ValueError("Mask cannot be negative.")

    if not isinstance(catalog, list):
        raise ValueError("Catalog must be a list.")
    if len(catalog) == 0:
        raise ValueError("Catalog must contain at least one name.")

    for name in catalog:
        if not isinstance(name, str):
            raise ValueError("Each flag name must be a non-empty string.")
        if len(name) == 0:
            raise ValueError("Each flag name must be a non-empty string.")
        if catalog.count(name) > 1:
            raise ValueError("No repeated flag names allowed.")

        if any(ord(char) >= len(catalog) for            raise ValueError("A flag name has a set bit at or beyond the catalog's length.")

    
    return {name: bool((mask >> i) for i, range(len(catalog)) for name in catalog}
```