In this paper, we give constructions for infinite sequences of finite nonlinear locally recoverable codes ?subset of Pi i=1N? qi over a product of finite fields arising from basis expansions in algebraic number fields. The codes in our sequences have increasing length and size, constant rate, fixed locality, and minimum distance going to infinity.
Number theoretical locally recoverable codes
Ferraguti, Andrea;
2024-01-01
Abstract
In this paper, we give constructions for infinite sequences of finite nonlinear locally recoverable codes ?subset of Pi i=1N? qi over a product of finite fields arising from basis expansions in algebraic number fields. The codes in our sequences have increasing length and size, constant rate, fixed locality, and minimum distance going to infinity.
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