@link and @code doesn’t exist in kDoc but can easily be replaced by Inline Markup.
from KotlinDoc Linking to Elements
Inline Markup
For inline markup, KDoc uses the regular Markdown syntax, extended to
support a shorthand syntax for linking to other elements in the code.Linking to Elements
To link to another element (class, method, property or parameter),
simply put its name in square brackets:Use the method
[foo]for this purpose.If you want to specify a custom
label for the link, use the Markdown reference-style syntax:Use
[this method][foo]for this purpose. You can also use qualified
names in the links. Note that, unlike JavaDoc, qualified names always
use the dot character to separate the components, even before a method
name:Use
[kotlin.reflect.KClass.properties]to enumerate the properties of
the class. Names in links are resolved using the same rules as if the
name was used inside the element being documented. In particular, this
means that if you have imported a name into the current file, you
don’t need to fully qualify it when you use it in a KDoc comment.Note that KDoc does not have any syntax for resolving overloaded
members in links. Since the Kotlin documentation generation tool puts
the documentation for all overloads of a function on the same page,
identifying a specific overloaded function is not required for the
link to work.