Symmetric and asymmetric encryption schemes based on ill-posed inverse problems
Abstract
In this work, we unveil an analogy between the well-known lattice based learning with error problem and ill-posed inverse problems. We show that LWE problem is a structured inverse problem. Further, we propose a symmetric encryption scheme based on ill-posed problems and thoroughly discuss its security. Finally, we propose a public key encryption scheme based on our symmetric encryption scheme and CRYSTALS-Kyber KEM (key encapsulation mechanism) and discuss its security.
Fields of Study & Subjects
Cryptography and Data Security
Security in Wireless Sensor Networks
RFID technology advancements
Publication details
- Journal / source
- Az Eszterházy Károly Tanárképző Főiskola tudományos közleményei. Tanulmányok a matematikai tudományok köréből/Az Eszterházy Károly Főiskola tudományos közleményei. Tanulmányok a matematikai tudományok köréből/Annales mathematicae et informaticae
- Publication date
- 1 January 2026