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cs.IT2022
On the Density of Codes over Finite Chain Rings
Anna-Lena Horlemann, Violetta Weger, Nadja Willenborg
We determine the asymptotic proportion of free modules over finite chain rings with good distance properties and treat the asymptotics in the code length n and the residue field si…
cs.IT2022★ 7 cited
Densities of Codes of Various Linearity Degrees in Translation-Invariant Metric Spaces
Anina Gruica, Anna-Lena Horlemann, Alberto Ravagnani +1
We investigate the asymptotic density of error-correcting codes with good distance properties and prescribed linearity degree, including sublinear and nonlinear codes. We focus on…