  This paper proposes a new coded modulation scheme for reliable transmission
of short data packets at very low signal-to-noise ratio, combining cyclic code
shift keying modulation and non-binary polar coding. We consider non-binary
polar codes defined over Galois fields, and propose a new design methodology,
aimed at optimizing the choice of the kernel coefficients. Numerical results
show that the system performance is close to the achievable limits in the
finite blocklength regime.
