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1. Singer Sidon Sets in Lean 4 (2605.03274) — 7541 lines, zero sorry 2. AutoformBot: 45K Lean declarations from 26 textbooks (2605.29955) 3. Rust-to-Lean verification pipeline (2605.30106) 4. Hexagonal lattice + RG + fractal dimension (2605.09974) 5. Burgers + Hopf-Cole unified transform (2605.11788) 6. Self-orthogonal Reed-Solomon → quantum ECC (2605.23460) 7. Hash-based GPU 3D reconstruction (2511.21459) 8. Conjugacy classes of positive 3-braids (2604.16876) 9. Navier-Stokes non-uniqueness (2605.29934) 10. Continuum limit of causal fermion systems (2605.30199) Most relevant to Research Stack: - #1: Direct Sidon set infrastructure for Lean - #4: RG + fractal dimension exact results - #5: Hopf-Cole Burgers (confirms our approach) - #6: RS codes → quantum ECC (VCN pipeline connection)
12 lines
No EOL
914 B
JSON
12 lines
No EOL
914 B
JSON
{
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"arxiv_id": "2605.23460",
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"title": "Self-Orthogonal Reed-Solomon \u2192 Quantum ECC",
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"authors": [
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"Yanxin Chen",
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"Yanli Wang",
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"Tongjiang Yan"
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],
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"abstract": "Abstract:In this paper, two classes of twisted generalized Reed-Solomon (TGRS) codes with multi-twists are studied. Firstly, some sufficient and necessary conditions for these codes to be self-orthogonal and self-dual are established. Then several explicit constructions of self-orthogonal and self-dual codes are presented, from which quantum stabilizer codes are further derived. Finally, some corresponding examples are given, especially that some of these codes are MDS, AMDS or NMDS and that some of the resulting quantum stabilizer codes are optimal, achieving the quantum Singleton bound.",
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"url": "https://arxiv.org/abs/2605.23460",
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"pdf_path": "/home/allaun/Research Stack/shared-data/papers/2026-05/2605.23460.pdf"
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} |