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cs.IT2026
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}{…
cs.IT2026
Integer-Forcing Precoding: A Geometric Perspective and Low-Complexity Algorithm Design
Junren Qin, Fan Jiang, Tao Yang +3
The joint coefficient--scaling design of integer-forcing (IF) precoding couples a full-rank integer coefficient matrix with a positive diagonal scaling matrix, resulting in a mixed…
cs.IT2026
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…