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cs.IT2021
Bounds in the Lee Metric and Optimal Codes
Eimear Byrne, Violetta Weger
In this paper we investigate known Singleton-like bounds in the Lee metric and characterize optimal codes, which turn out to be very few. We then focus on Plotkin-like bounds in th…
cs.IT2021
Density of Free Modules over Finite Chain Rings
Eimear Byrne, Anna-Lena Horlemann, Karan Khathuria +1
In this paper we focus on modules over a finite chain ring of size . We compute the density of free modules of , where we separately treat the asy…
cs.IT2021
On Bounds for Ring-Based Coding Theory
Niklas Gassner, Marcus Greferath, Joachim Rosenthal +1
Coding Theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. Such codes over rings had impo…