Welcome to the resource topic for 2015/013
Title:
Low Noise LPN: KDM Secure Public Key Encryption and Sample Amplification
Authors: Nico Döttling
Abstract:Cryptographic schemes based on the Learning Parity with Noise (LPN) problem have several very desirable aspects: Low computational overhead, simple implementation and conjectured post-quantum hardness. Choosing the LPN noise parameter sufficiently low allows for public key cryptography. In this work, we construct the first standard model public key encryption scheme with key dependent message security based solely on the low noise LPN problem. Additionally, we establish a new connection between LPN with a bounded number of samples and LPN with an unbounded number of samples. In essence, we show that if LPN with a small error and a small number of samples is hard, then LPN with a slightly larger error and an unbounded number of samples is also hard. The key technical ingredient to establish both results is a variant of the LPN problem called the extended LPN problem.
ePrint: https://eprint.iacr.org/2015/013
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .