Sequential Decoding of Kronecker Codes for URLLC in 5G Systems

Kronecker coding is a multi-linear coding technique that offers high adaptability code rate modification and which works well with shorter block lengths, the being an attractive solution for ultra-reliable low-latency communication scenarios present in beyond fifth generation and in sixth generation. This paper presents a new decoding algorithm called multiple least-squares Kronecker factorization decoder, which efficiently exploits the structure of Kronecker code. The proposed algorithm was tested via Monte Carlo simulations, considering Rayleigh and additive white Gaussian noise channels in a single-input-single-output system. For the additive white Gaussian noise channel, the proposed algorithm got a better performance than a low density parity check coding scheme at the same code rate and offered an E
b
/N
0
gain of nearly 7 dB for a target bit error ratio (BER) of 10
⁻³
. For the Rayleigh fading channel scenario, a BER of 10–
³
is observed at 16 dB of signal-to-noise ratio.