Cyclic codes over a commutative non-unitary ring of order 4
2026-07-15T08:51:48Z•2d2c8a87eb2e2904e8c2a76ae99953abd7f9d759c2b0e06109a3fd9a451bb1a0
arxivauxiliary-nodescoding-theorycyclic-codesdecoding-algorithmsfoundation-modelsgrandgray-mapgseggrandi2-ringintegrated-sensing-and-communicationisacjordan-canonical-formleo-satellitesmetasurface-antennasneural-receiver','fm-receiver'pinching-antennaqldpcquantum-codesquantum-stabilizer-codessoft-outputswitched-feed-passterahertzturbo-product-codeswireless-communications
What happened
Collection of 12 new arXiv submissions (15 Jul 2026) covering coding theory, decoding algorithms, quantum error-correction, and wireless communications hardware/algorithms. Highlights include: (1) algebraic study of cyclic codes over a non-unitary ring I2 with Gray-map connections to binary quasi-cyclic codes and classification for n≤7; (2) GSegGRAND, a generalized constrained-guessing GRAND that incorporates up to log2(n) constraints and reports up to 75% guesswork reduction over Segmented GRAND (and up to 88% in turbo product decoding with soft-output extension); (3) a framework adding auxil
Why it matters
A reviewed impact interpretation has not been published for this record.
Evidence and limitations
- Source ID
- arxiv_math_it
- Record identifier
- 2d2c8a87eb2e2904e8c2a76ae99953abd7f9d759c2b0e06109a3fd9a451bb1a0
- Enrichment time
- 2026-07-15T08:51:48Z
- AI-assisted enrichment
- Yes
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