Modulation-agnostic transformations using unitary braid divisional multiplexing (UBDM)

A method, comprising:

• receiving, via a processor, a first vector;
• partitioning the first vector, via the processor, to produce a magnitude vector and a sign vector;
• generating a second vector, via the processor, including a modified magnitude vector and a modified sign vector, by:
• applying a permutation to the magnitude vector to produce the modified magnitude vector,
• converting the sign vector, based on an algorithm, into an intermediate sign vector, and
• applying a plurality of nonlinear layers to the intermediate sign vector, each nonlinear layer from the plurality of nonlinear layers including at least one of a permutation, an S-box transformation, a diffusive linear operation, or an Xor operation, to produce the modified sign vector;
• applying, via the processor, a plurality of linear layers to the second vector to produce a third vector, the third vector being a transformed version of the first vector;
• and
• sending a first signal representing the third vector to at least one transmitter for transmission of a second signal representing the transformed data vector from the at least one transmitter to at least one receiver.