4 papers
Affine Subcode Ensemble Decoding for Degeneracy-Aware Quantum Error Correction
Leo Wursthorn, Jonathan Mandelbaum, Sisi Miao +4
Quantum low-density parity-check codes are promising candidates for low-overhead fault-tolerant quantum computing, but degeneracy is known to impair the convergence of belief-propa…
Channel Coding based on Skew Polynomials and Multivariate Polynomials
Hedongliang Liu
This dissertation considers new constructions and decoding approaches for error-correcting codes based on non-conventional polynomials, with the objective of providing new coding s…
Linearized Reed-Solomon Codes with Support-Constrained Generator Matrix and Applications in Multi-Source Network Coding
Hedongliang Liu, Hengjia Wei, Antonia Wachter-Zeh +1
Linearized Reed-Solomon (LRS) codes are evaluation codes based on skew polynomials. They achieve the Singleton bound in the sum-rank metric and therefore are known as maximum sum-r…
A Gröbner Approach to Dual-Containing Cyclic Left Module -Codes over Finite Commutative Frobenius Rings
Hedongliang Liu, Cornelia Ott, Felix Ulmer
For a skew polynomial ring where is a commutative Frobenius ring, an endomorphism of and a -derivation of , we consider cyclic left module c…