If you were a stockbroker, that message would contain less information - and you probably would know it already. It's useful information to a stockbroker, but it would be more informative to almost anyone else, who doesn't encounter such messages daily. As another example, the information in the Rosetta stone was diminished - if more accessible - to its carvers, and a 700 MB disk holds 700 MB regardless of what those bits are.
What you're referring to is compression. High information density is indistinguishable from noise to any recipient who cannot translate it, which is why compression contests regularly require the extractor to be included in the message.
If you were a stockbroker, that message would contain less information - and you probably would know it already. It's useful information to a stockbroker, but it would be more informative to almost anyone else, who doesn't encounter such messages daily. As another example, the information in the Rosetta stone was diminished - if more accessible - to its carvers, and a 700 MB disk holds 700 MB regardless of what those bits are.
What you're referring to is compression. High information density is indistinguishable from noise to any recipient who cannot translate it, which is why compression contests regularly require the extractor to be included in the message.