Randomized Polar Subcodes With Optimized Error Coefficient
Peter Trifonov
Abstract
A method for construction of polar subcodes with reduced error coefficient is presented. The proposed approach relies on explicit enumeration of low-weight non-zero codewords in a polar code, and construction of dynamic freezing constraints which define a subcode not containing most of these codewords. The obtained codes provide a large performance gain in the high-SNR region compared to non-optimized polar subcodes and polar codes with CRC.
Topics & Concepts
PolarPolar codeEnumerationCode (set theory)MathematicsAlgorithmComputer scienceDiscrete mathematicsDecoding methodsPhysicsSet (abstract data type)AstronomyProgramming languageError Correcting Code TechniquesAdvanced Wireless Communication TechniquesCoding theory and cryptography