I have a need to generate a 448-bit value that appears random, for use in a test circuit. The "randomness" of the values is not overly important; the size of the generator hardware is. I am using an FPGA and I have a budget of ~32 logic elements (in Altera lingo, a LE is a LUT plus an FF).
One possible solution that comes to mind would be to make a 32-bit LFSR, and then use some logic functions/combinations of those bits to generate the 448-bit output.
Is there any other clever solution?
Edit: I'm adding some detail because some have pointed out that it is not possible to create a circuit with 448 output bits using only 32 logic elements.
The block I'll be feeding the "random" values does register all 448 bits at its input port. Though I can't touch the VHDL code of that block, the LUTs that feed those registers can be used for combinational logic by the synthesizer. So though it is true I can't create a circuit with 448 output bits using only 32 LUTs, this is not a problem in this particular case, because only the number of registers is a hard limit.