Development of Mathematics for Cryptology

Dear Colleagues,

New technological solutions for smart cities and all different fields of applied sciences, prompts for improved methods for secure management of data. The increasing mathematical complexity of modern cryptanalysis and cryptography makes it harder for researchers to communicate research findings and their implications to policy makers. Papers which address this issue would be very welcome. Methods preserving integrity, ensuring authenticity and guaranteeing secrecy in communication via emerging IOT devices as well and in cloud services are demanded in a variety of applications. From the perspective of law enforcement, the need is for cryptanalysis and steganalysis rather than cryptography and steganography. Both of these perspectives demand the new development of mathematics applied to cryptology to solve issues on different levels. Currently, RSA and AES are among the dominating methods of cryptography for various purposes. These provide satisfying security in many cases, but for lightweight demands other techniques may be preferable. New ideas include one-way functions that enable quick information management with strong requirements against reverse engineering.

Additionally, the potential threat from the quantum computer poses new demands for security, mainly regarding cryptography and steganography. Still, new achievements in cryptanalysis and steganalysis may be made by combining mathematics and low-level quantum computer programming.

All contributions concerning the topic of mathematics applied to cryptology and related subjects are very welcome!

Dr. Eric Järpe
Prof. Dr. Mark Dougherty
Guest Editors

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• computational algebraic topology
• number theory
• finite fields
• elliptic curves