We have formerly introduced Deep Random Secrecy, a new cryptologic technique capable to ensure secrecy as close as desired from perfection against unlimited passive eavesdropping opponents. We have also formerly introduced an extended protocol, based on Deep Random Secrecy, capable to resist to unlimited active MITM. The main limitation of those protocols, in their initial presented version, is the important quantity of information that needs to be exchanged between the legitimate partners to distill secure digits. We have defined and shown existence of an absolute constant, called Cryptologic Limit, which represents the upper-bound of Secrecy rate that can be reached by Deep Random Secrecy protocols. At last, we have already presented practical algorithms to generate Deep Randomness from classical computing resources. This article is presenting an optimization technique, based on recombination and reuse of random bits; this technique enables to dramatically increase the bandwidth performance of formerly introduced protocols, without jeopardizing the entropy of secret information. That optimization enables to envision an implementation of Deep Random Secrecy at very reasonable cost. The article also summarizes former results in the perspective of a comprehensive implementation.
[1]
Thibault de Valroger.
Deep Random based Key Exchange protocol resisting unlimited MITM
,
2018,
Advances in Intelligent Systems and Computing.
[2]
Robert G. Gallager,et al.
Low-density parity-check codes
,
1962,
IRE Trans. Inf. Theory.
[3]
Ueli Maurer,et al.
Generalized privacy amplification
,
1994,
Proceedings of 1994 IEEE International Symposium on Information Theory.
[4]
Gilles Brassard,et al.
Privacy Amplification by Public Discussion
,
1988,
SIAM J. Comput..
[5]
R. T. Cox.
Probability, frequency and reasonable expectation
,
1990
.
[6]
Edwin T. Jaynes.
Prior Probabilities
,
2010,
Encyclopedia of Machine Learning.
[7]
U. Maurer,et al.
Secret key agreement by public discussion from common information
,
1993,
IEEE Trans. Inf. Theory.
[8]
T. Tao,et al.
On the singularity probability of random Bernoulli matrices
,
2005,
math/0501313.