Cryptographic Application of the Fundamental Finite Field
by
Doctor Watson
The Fundamental Finite Field
The fundamental finite field comprises the single element 0 (zero)
and the set of operators {+,*} such that:
0 + 0 = 0
and
0 * 0 = 0
Calculation with this field is significantly simpler than other finite
fields.
Cryptographic Application
Let us assume a plaintext message M is encrypted with the fundamental
finite field to obtain an encrypted message Z = M * 0. This transmitted
message is impervious to decyphering because all operations in the fundamental
finite field result in 0. The recipient decodes the message by the
operation Z * 0 which is 0. The content of the message is
irrelevent, but the existence of the message is significant, because this
can be differentiated from the absence of a message.
A further advantage of this encryption system is the significant reduction
in data communications.