Veil of secrecy is a popular phrase used to describe a situation where important information is hidden or kept confidential. There are several synonyms for this phrase, which can be used to provide more context or variety to a piece of writing. Some of the synonyms for veil of secrecy include shroud of secrecy, cloak of secrecy, mantle of secrecy, curtain of secrecy and blanket of secrecy. These phrases can help to convey the same sense of mystery and obscurity associated with a veil of secrecy, but with a slightly different tone or emphasis. Using synonyms can also help to add diversity and interest to your writing, making it more engaging for readers.