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arXiv · 2604.12703

Construction $\pi_A$ over Multiquadratic Fields for Compound Block-Fading Wiretap Channels

Juliana G. F. Souza·Conghui Li·Cong Ling
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Abstract

We construct multilevel lattice codes from multiquadratic number fields for the compound block-fading wiretap channel. More precisely, we specialize Construction $\pi_A$ over the ring of integers $\mathcal{O}_K$ and exploit rational primes that split completely in $K$ to obtain a Chinese Remainder Theorem (CRT) decomposition into small residue alphabets, notably binary, which enables multistage decoding. The resulting nested lattices fit into the algebraic Construction A framework and, when combined with discrete Gaussian shaping and flatness-factor bounds, provide universal reliability for the legitimate receiver and strong secrecy uniformly over the eavesdropper compound set.

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Juliana G. F. Souza, Conghui Li, Cong Ling. 2026-04-14. Construction $\pi_A$ over Multiquadratic Fields for Compound Block-Fading Wiretap Channels. https://arxiv.org/abs/2604.12703

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