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On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction

Computer Science > Information Theory [Submitted on 29 Aug 2025 (v1), last revised 30 May 2026 (this version, v2)] Title:On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction View PDF HTML (experimental)Abstract:In this note, we reveal a relation between the weight distribution of a concatenated code ensemble based on the Plotkin construction and those of its component codes. The relation may find applications in the calculation of the ensemble weight...

arXiv CS 8d ago

Two-component exciton condensates in an electron–hole bilayer

Abstract Macroscopic quantum coherence emerges when bosons condense into a Bose–Einstein condensate (BEC)1,2,3,4,5. Excitons are a long-sought solid-state route to high-temperature BECs with strong interactions, electrical tunability and potentially multicomponent spinor order, but conclusive evidence for equilibrium condensation has remained elusive. Here we report evidence for two-component exciton BECs in MoSe2/hBN/WSe2 electron–hole bilayers6,7,8,9 by probing the spin–valley...

Nature 19h ago

Doctors thought this kidney drug helped some patients. It may help millions more.

Doctors thought this kidney drug helped some patients. It may help millions more. - Date: - June 8, 2026

Science Daily 2d ago

In situ nanocrystal confinement for efficient blue perovskite LEDs

Abstract Metal halide perovskites have emerged as promising semiconductors for light-emitting diodes (LEDs) owing to their excellent luminescence properties1. However, their performance remains limited, primarily owing to the inherent contradiction between ‘high crystallinity’ and ‘small size’ in the in situ synthesis of perovskite nanocrystals on substrates. Here we report efficient blue perovskite LEDs (PeLEDs) achieved via in situ polymerization-driven nanocrystal confinement to...

Nature 19h ago