10 papers
Symplectic Barnes-Wall GKP Codes: Deterministic Decoding and Logarithmic Rate Scaling
Shanxiang Lyu
We construct an explicit symplectic realization of the Barnes-Wall lattice that yields a family of multimode Gottesman-Kitaev-Preskill (GKP) codes with encoding rate $R = \frac{1}{…
Forging the Unforgeable: On the Feasibility of Counterfeit Watermarks in Backdoor-Based Dataset Ownership Verification
Zhiying Li, Zhi Liu, Dongjie Liu +6
Backdoor watermarking has emerged as the predominant approach for protecting public datasets, enabling dataset ownership verification (DOV) through embedded triggers that induce pr…
On the Optimal Integer-Forcing Precoding: A Geometric Perspective and a Polynomial-Time Algorithm
Junren Qin, Fan Jiang, Tao Yang +3
The joint optimization of the integer matrix and the power scaling matrix is central to achieving the capacity-approaching performance of Integer-Forcing…
Decoding Golay Codes and their Related Lattices: A PAC Code Perspective
Yujun Ji, Ling Liu, Shanxiang Lyu +3
In this work, we propose a decoding method of Golay codes from the perspective of Polarization Adjusted Convolutional (PAC) codes. By invoking Forney's cubing construction of Golay…
Revisit the AWGN-goodness of Polar-like Lattices
Ling Liu, Junjiang Yu, Shanxiang Lyu +1
This paper aims to provide a comprehensive introduction to lattices constructed based on polar-like codes and demonstrate some of their key properties, such as AWGN goodness. We fi…
On the edge densities of normal, convex mosaics
Máté Kadlicskó, Zsolt Lángi, Shanxiang Lyu
In this paper we investigate the problem of finding the minimum edge density in families of convex, normal mosaics with unit volume cells in -dimensional Euclidean space. In the…