To search for package names with the apt-cache command on a Debian or Ubuntu Linux system, you can use the search option.
Here's an example of how to use the apt-cache search command to search for package names:
apt-cache search package-name
This command will search for packages that match the package-name string and display the list of matching packages.
You can also use wildcards in the search string to match multiple packages. For example, to search for packages that contain the string ssh, you can use the following command:
apt-cache search ssh
This will display a list of packages that contain the string ssh in their names or descriptions.