47 citations · 105 across the 18 of their papers we have counts for
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Spectral Analysis of Quasi-Cyclic Product Codes
Alexander Zeh, San Ling
This paper considers a linear quasi-cyclic product code of two given quasi-cyclic codes of relatively prime lengths over finite fields. We give the spectral analysis of a quasi-cyc…
Decoding of Repeated-Root Cyclic Codes up to New Bounds on Their Minimum Distance
Alexander Zeh, Markus Ulmschneider
The well-known approach of Bose, Ray-Chaudhuri and Hocquenghem and its generalization by Hartmann and Tzeng are lower bounds on the minimum distance of simple-root cyclic codes. We…
Optimal Linear and Cyclic Locally Repairable Codes over Small Fields
Alexander Zeh, Eitan Yaakobi
We consider locally repairable codes over small fields and propose constructions of optimal cyclic and linear codes in terms of the dimension for a given distance and length. Four…
Optimal Binary Locally Repairable Codes via Anticodes
Natalia Silberstein, Alexander Zeh
This paper presents a construction for several families of optimal binary locally repairable codes (LRCs) with small locality (2 and 3). This construction is based on various antic…
Construction of Quasi-Cyclic Product Codes
Alexander Zeh, San Ling
Linear quasi-cyclic product codes over finite fields are investigated. Given the generating set in the form of a reduced Gr{ö}bner basis of a quasi-cyclic component code and the ge…