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Randomness is of fundamental importance in various fields, such as cryptography, numerical simulations, or the gaming industry. Quantum physics, which is fundamentally probabilistic, is the best option for a physical random number generator. In this article, we will present the work carried out in various projects in the context of the development of a(More)
We consider a bound on the bias reduction of a random number generator by processing based on binary linear codes. We introduce a new bound on the total variation distance of the processed output based on the weight distribution of the code generated by the chosen binary matrix. Starting from this result we show a lower bound for the entropy rate of the(More)
Most bounds on the size of codes hold for any code, whether linear or not. Notably, the Griesmer bound holds only in the linear case and so optimal linear codes are not necessarily optimal codes. In this paper, we identify code parameters (q, d, k), namely, field size, minimum distance, and combinatorial dimension, for which the Griesmer bound also holds in(More)
Random numbers are a fundamental building block for a number of applications such as cryptography, numerical simulations or the gaming industry. There are two types of random number generator: pseudo-random number generators and true random number generators. The first type is implemented to be deterministic: a specific input seed will always generate the(More)
Most bounds on the size of codes hold for any code, whether linear or nonlinear. Notably, the Griesmer bound, holds only in the linear case. In this paper we characterize a family of systematic nonlinear codes for which the Gries-mer bound holds. Moreover, we show that the Griesmer bound does not necessarily hold for a systematic code by showing explicit(More)
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