Matthews, Gretchen L.Murphy, Aidan W.Santos, Welington2024-01-222024-01-222023-121071-5797https://hdl.handle.net/10919/117553In this paper, we present a fractional decoding algorithm for a new family of codes which are constructed from the Hermitian curve, called r-Hermitian codes. These codes of length n are defined over an extension field Fq2l of Fq2 and the fractional decoding algorithms that we present are algorithms for error correction that use only αln symbols of a subfield of size q2 as input into the decoding algorithm, where α<1, meaning a fraction of the subsymbols that are typically utilized. We demonstrate that collaborative decoding of interleaved codes supports fractional decoding of the r-Hermitian codes, allowing for improved bounds on the fractional decoding radius.25 page(s)application/pdfenIn CopyrightCollaborative decodingDistributed storage systemFractional decodingHermitian curveInterleaved codeReed-Solomon codeArticle - Refereedhttps://doi.org/10.1016/j.ffa.2023.10227892Matthews, Gretchen [0000-0002-8977-8171]1090-2465