Number theoretical locally recoverable codes

Abstract

In this paper, we give constructions for infinite sequences of finite nonlinear locally recoverable codes [Formula: see text] 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.

Locations

• Journal of Algebra and Its Applications - View
• arXiv (Cornell University) - View - PDF