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- W3035394955 abstract "In this paper, we construct codes for local recovery of erasures with high availability and constant-bounded rate from the Hermitian curve. These new codes, called Hermitian-lifted codes, are evaluation codes with evaluation set being the set of $mathbb{F}_{q^2}$-rational points on the affine curve. The novelty is in terms of the functions to be evaluated; they are a special set of monomials which restrict to low degree polynomials on lines intersected with the Hermitian curve. As a result, the positions corresponding to points on any line through a given point act as a recovery set for the position corresponding to that point." @default.
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- W3035394955 date "2020-06-09" @default.
- W3035394955 modified "2023-09-27" @default.
- W3035394955 title "Hermitian-Lifted Codes" @default.
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