I'm no expert, on cryptology or spread spectrum transmissions, but I
have to disagree with other comments about how improbable it is that
the phantom's tech could do the things it does.
It is a very low probability, but not on the order of a flying beanie
hat.
The Bubble Gum Universe uses highly questionable physics for its
boomers and the hardsuits are even more in the realm of fantasy than
reality, especially when it is set less than 50 years in the future.
The comments about the safety of the encryption methods seem close to
the same type of comments the WWII german's made about their encryption
machines.
I must agree the story needs to explain how it was possible in some
pseudoscience terms for Phantoms techs to do this so quickly and
easily, perhaps a side story from the past or maybe a add on chapter
with nene threatening severe bodily harm if she isn't told how her
radio transmissions were broken and how they got the data on the
boomers from Genom.
Example
Spread Spectrum is very secure, but at ranges under a few kilometers
this security can break down.
All modern radios use intermediate frequencies to generate the actual
transmitted frequency and any radio also broadcast the resulting beat
and harmonic frequencies usually several decibels down, it is possible
that these unwanted frequencies can give you an unspread copy of the
data the main signal is carrying.
On very expensive radios these extra frequencies drop below the
background noise level after a few hundred meters, but with the right
equipment and conditions these signals can be picked up at ranges
measured in kilometers.
A favorite "math-ish" story device is Fermi's last theorem perhaps one
of the earlier phantoms aquired most of Fermi's original notes and it
contains an actual copy of this famous theorem and it allows a huge
class of mathematical problems to be solved in seconds.
The story probably needs a couple of plot devices to explain.
NOTE:
The currently know theorem is almost certainly not Fermi's, but it does
lend support to him actually having one, until the modern theorem's
discovery most mathmaticians had decided he had made a mistake or was
yanking their chains.
howard melton
God bless
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