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Funded under the European Union's Horizon 2020 research and innovation programme, SAFEcrypto will provide a new generation of practical, robust and physically secure postquantum cryptographic solutions that ensure long-term security for future ICT systems, services and applications. The project will focus on the remarkably versatile field of Lattice-based cryptography as the source of computational hardness, and will deliver optimised public key security primitives for digital signatures and authentication, as well identity based encryption (IBE) and attribute based encryption (ABE). This will involve algorithmic and design optimisations, and implementations of lattice-based cryptographic schemes addressing cost, energy consumption, performance and physical robustness. As the National Institute of Standards and Technology (NIST) prepares for the transition to a post-quantum cryptographic suite B, urging organisations that build systems and infrastructures that require longterm security to consider this transition in architectural designs; the SAFEcrypto project will provide Proof-of-concept demonstrators of schemes for three practical real-world case studies with long-term security requirements, in the application areas of satellite communications, network security and cloud. The goal is to affirm Lattice-based cryptography as an effective replacement for traditional number-theoretic * Principal Investigator.public-key cryptography, by demonstrating that it can address the needs of resource-constrained embedded applications, such as mobile and battery-operated devices, and of real-time high performance applications for cloud and network management infrastructures.

In this presentation we shall go briefly through the properties of LDPC-codes and discuss two methods for constructing LDPC matrices. One of these methods is based on BIBD, which we explain in the first part of the presentation. We shall go through the definition of BIBD and introduce the general methods of finding them. Then we shall explain one particular method called symmetrically repeated differences SRD and explain several designs based on this method. We shall then show how to use BIBD in LDPC construction. Go through the performance of some LDPC-codes based on BIBD [ 1, 21. The second part of the presentation introduces a simple method to construct quasicyclic LDPC codes. It is based on Vandermonde matrix [4] and we compare it with BIBD method [ 3 ] .