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In the worst case, the sparsity bound in our construction is similar to that of binary compressed sensing matrices constructed by DeVore and partial Fourier matrices constructed by Xu and Xu.

Our construction is based on implementing kappa-supersymmetry.

Our construction is developed based on the discretized model.

Our construction is efficient and suitable for further designing multi-user PRE schemes.

The Nature of our construction is in every way A better fit than the Nature it displaces.

Our construction is based on the theory of finite-dimensional stochastic flows and a non-linear variational technique.

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In particular, a remarkable feature of our constructions is that they can operate asynchronously, whereby the clock signal, which is indispensable for synchronizing all elements as in a reversible logic circuit, can possibly be removed from the construction.

Furthermore, implicit in our constructions is the desire to use the simplest multiuser receiver and avoid universal decoding (which is not matched to any particular source distribution but to a whole class).

Then, the fundamental alphabet for our constructions is given by Ω = x = ∑ k = 0 P - 1 u k θ k : u k ∈ A (2). where integer P ≤ [F: F].

Our constructions are inspired by obfuscation techniques, but do not use obfuscation.

Because of the GDH group structure and the base scheme, most of our constructions are simpler, more efficient and have more useful properties than similar existing constructions.

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