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Construction-D lattice from Garcia-Stichtenoth tower code
Nov. 13, 2023, 6 a.m. |
IACR News www.iacr.org
ePrint Report: Construction-D lattice from Garcia-Stichtenoth tower code
Elena Kirshanova, Ekaterina Malygina
We show an explicit construction of an efficiently decodable family of $n$-dimensional lattices whose minimum distances achieve $\Omega(\sqrt{n} / (\log n)^{\varepsilon+o(1)})$ for $\varepsilon>0$. It improves upon the state-of-the-art construction due to Mook-Peikert (IEEE Trans.\ Inf.\ Theory, no. 68(2), 2022) that provides lattices with minimum distances $\Omega(\sqrt{n/ \log n})$. These lattices are construction-D lattices built from a sequence of BCH codes. We show that replacing BCH codes with subfield …
art code construction eprint report explicit family ieee log omega report state theory
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