I wonder, if I am allowed to develop an SSH client for distribution through Apple App Store without breaking any export regulations? I don't really know much about the encryption algorithm. Below is a screenshot from App Store:
This falls under the Wassenaar Arrangement / COCOM (Coordinating Committee for Multilateral Export Controls) for Sweden:
Then it goes on to limit certain restrictions:
Short answer: Yes.
The rest is then in the two documents I linked to. It's a bit lengthy read I'm afraid, but the Apple Store asks these questions for the reason of limiting product sales to those countries that laws and regulations of exporting countries might prohibit. In short, follow the questionnaire upon publishing your application, and the restrictions need to be followed by the App Store, not you.
The application process paper the documentation links to is sadly dead, so I dug around a bit to see what authority authorises export of cryptography products in your country:
Edit to add: If, however, your product's encryption strength isn't excluded from these export restrictions, or you need to acquire a licence to export to other countries that aren't implicitly listed as allowed to export cryptography products to, then in your case (Sweden), the national authority handling decisions on matters concerning licensing of the production and export of "dual-use" products (including: advanced technology machine tools, chemicals, encryption and navigation equipment, heat exchangers and pumps, but also knowledge, software and training material) is the ISP (Swedish Agency for Nonproliferation and Export Controls). That would be my first contact of choice, if you require obtaining export licence for your product and you also plan on selling your solution to other, not listed countries.