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Supporting ultra-reliable and low-latency communication (URLLC) is achallenge in current wireless systems. Channel codes that generate largecodewords improve reliability but necessitate the use of interleavers, whichintroduce undesirable latency. Only short codewords can eliminate therequirement for interleaving and reduce decoding latency. This paper suggests acoding and decoding method which, when combined with the high spectralefficiency of spatial multiplexing, can provide URLLC over a fading channel.Random linear coding and high-order modulation are used to transmit informationover a massive multiple-input multiple-output (mMIMO) channel, followed byzero-forcing detection and guessing random additive noise decoding (GRAND) at areceiver. A variant of GRAND, called symbol-level GRAND, originally proposedfor single-antenna systems that employ high-order modulation schemes, isgeneralized to spatial multiplexing. The paper studies the impact of theorthogonality defect of the underlying mMIMO lattice on symbol-level GRAND, andproposes to leverage side-information that comes from the mMIMO channel-stateinformation and relates to the reliability of each receive antenna. Thisinduces an antenna sorting step, which further reduces decoding complexity byover 80\% when compared to bit-level GRAND.

Symbol-Level Noise-Guessing Decoding with Antenna Sorting for URLLC Massive MIMO