LEDAcrypt: Low-dEnsity parity-check coDe-bAsed cryptographic systems Specification revision 3:0 { April, 2020 Name of the proposed cryptosystem LEDAcrypt (Low-dEnsity parity-check coDe-bAsed cryptographic systems) Submitters This submission is from the following team, listed in alphabetical order: • Marco Baldi, Universit`aPolitecnica delle Marche, Ancona, Italy • Alessandro Barenghi, Politecnico di Milano, Milano, Italy • Franco Chiaraluce, Universit`aPolitecnica delle Marche, Ancona, Italy • Gerardo Pelosi, Politecnico di Milano, Milano, Italy • Paolo Santini, Universit`aPolitecnica delle Marche, Ancona, Italy E-mail addresses:
[email protected],
[email protected],
[email protected],
[email protected],
[email protected]. Contact telephone and address Marco Baldi (phone: +39 071 220 4894), Universit`aPolitecnica delle Marche, Dipartimento di Ingegneria dell'Informazione (DII), Via Brecce Bianche 12, I-60131, Ancona, Italy. Names of auxiliary submitters There are no auxiliary submitters. The principal submitter is the team listed above. Name of the inventors/developers of the cryptosystem Same as submitters. Name of the owner, if any, of the cryptosystem Same as submitters. Backup contact telephone and address Gerardo Pelosi (phone: +39 02 2399 3476), Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria (DEIB), Via G. Ponzio 34/5, I-20133, Milano, Italy. Signature of the submitter1 × 1See also printed version of \Statement by Each Submitter". LEDAcrypt Page 3 Contents Foreword 9 1 Complete written specification 11 1.1 Preliminaries . 11 1.1.1 Finite fields and circulant matrix algebra . 11 1.1.2 Quasi-cyclic low-density parity-check codes and their efficient decoding . 15 1.1.3 Classic code-based cryptosystems .