Method comprising: - execution of a network access program contained in a portable data carrier device on a processor of the data carrier device, wherein the network access program, in particular a browser program, is for establishing a data connection to a network element, in particular to an Internet server of a service provider, wherein the portable data carrier device further comprises an authentication feature, wherein access to the authentication feature is only possible from means inside the data carrier device, wherein authorisation of a person or a group of people to access the network element and/or use a specific service offered by a service provider is authenticable using the authentication feature and/or the network access program is authenticable using the authentication feature when accessing the network element, wherein the authentication feature is transferred to the network element for authentication purposes and checked by the network element, and - use of means in a data processing system connected to the data carrier device for recording and/or outputting information when executing the network access program, wherein keyboard and/or mouse inputs recorded at the data processing system and relating to the execution of the network access program are received at the data carrier device via a data connection between the data carrier device and the data processing system and screen outputs relating to the execution of the network access program are sent to the data processing system via the data connection for output on a display unit there, and - use of means, in particular of a network and/or cellular radio data interface, of the data processing system to access the network element when executing the network access program. - execution of a network access program contained in a portable data carrier device on a processor of the data carrier device, wherein the network access program, in particular a browser program, is for establishing a data connection to a network element, in particular to an Internet server of a service provider, wherein the portable data carrier device further comprises an authentication feature, wherein access to the authentication feature is only possible from means inside the data carrier device, wherein authorisation of a person or a group of people to access the network element and/or use a specific service offered by a service provider is authenticable using the authentication feature and/or the network access program is authenticable using the authentication feature when accessing the network element, wherein the authentication feature is transferred to the network element for authentication purposes and checked by the network element, and - use of means in a data processing system connected to the data carrier device for recording and/or outputting information when executing the network access program, wherein keyboard and/or mouse inputs recorded at the data processing system and relating to the execution of the network access program are received at the data carrier device via a data connection between the data carrier device and the data processing system and screen outputs relating to the execution of the network access program are sent to the data processing system via the data connection for output on a display unit there, and - use of means, in particular of a network and/or cellular radio data interface, of the data processing system to access the network element when executing the network access program.