This chapter explores the problems of constructing multi-linear maps and the need for short post-quantum signatures in cryptography. It discusses the applications of multi-linear maps in non-interactive group key exchange and the challenge of creating secure signatures against quantum computers. The chapter also touches on the concepts of isogenies, Diffie-Hellman, and the current state of post-quantum cryptography.
In this, our special 100th episode of the Zero Knowledge Podcast, we caught up with Dan Boneh, professor and researcher in applied cryptography and computer security at Stanford. In this far-reaching conversation, we talk about Dan's background in the field of cryptography, how the field has evolved over the years, his work on cryptography & blockchain education, where zero knowledge research and SNARKs in particular fits into the field, some exciting new research coming out of the Applied Cryptography Group at Stanford, what cryptographic and engineering problems he thinks we should be focused on solving, and more.
This episode covered a lot of ground and even though we went overtime, there is still so much more to talk about. We hope to have Dan back on the show sometime soon!
In the meantime, here are some resources that might help you explore some of the topics covered:
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