Is it possible to get RSA private key knowing public key and set of "original data=>encrypted data"

Posted by Riz on Stack Overflow See other posts from Stack Overflow or by Riz
Published on 2010-04-17T18:21:46Z Indexed on 2010/04/17 18:23 UTC
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Hi, I work on apllication which allows plugins to access different set of functionality, every plugin provides "initialization string" which sets level of access to different features. Developers send me this strings, and I encrypt them using my 1024 bit RSA private key and send encoded data back. When started, my application decodes encoded data(encoded initialisation string) using built-in public key and if "decoded data != initialization string" it fails to start.

So, is it possible to use a database of "initialization string" => "encoded initialization string"(extracted from other plugins) to crack my private key, or make it possible to bruteforce it in reasonable time?

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