Proximity Gaps Conjecture Fails Near Capacity over Prime Fields

2026-04-14T08:51:51Zcb34c32d5cfbde56a29be4e8a34978fe6cc6810c757ff0a12ee62a1fa8e797e6
NOMAacademicalamouti-codesantenna-systemsarxivbeamformingcoding-theorydiffusion-modelsdistributed-computingeavesdropper-trackingface-recognition-privacy","synthetic-identity-generation","biom"finite-blocklengthgradient-codinglimited-feedbacknonaproximity-gapsreed-solomonreinforcement-learningresearch-feedrobust-designsecure-communicationsstraggler-resiliencesynthetic-aperture-radarunsourced-random-accesswireless-communications

What happened

Collection of 12 new arXiv submissions (14 Apr 2026) spanning coding theory, wireless communications, distributed learning, and information theory. Highlights include: (1) a coding-theory result showing proximity-gap failures for a family of Reed–Solomon codes near capacity; (2) robust antenna placement and power-allocation methods for pinching-antenna systems under user-location uncertainty; (3) a diffusion-denoiser integrated into joint decoding for finite-blocklength unsourced random access that yields measurable Eb/N0 gains; (4) a deep-reinforcement-learning framework for time-division JS-

Why it matters

A reviewed impact interpretation has not been published for this record.

Evidence and limitations

Source ID
arxiv_math_it
Record identifier
cb34c32d5cfbde56a29be4e8a34978fe6cc6810c757ff0a12ee62a1fa8e797e6
Enrichment time
2026-04-14T08:51:51Z
AI-assisted enrichment
Yes

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