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- New
- Research Article
- 10.1007/s10623-026-01847-5
- May 1, 2026
- Designs, Codes and Cryptography
- Yihui Li + 1 more
- New
- Research Article
- 10.1007/s10623-026-01802-4
- Apr 20, 2026
- Designs, Codes and Cryptography
- Meng Sun + 2 more
- New
- Research Article
- 10.1007/s10623-026-01839-5
- Apr 20, 2026
- Designs, Codes and Cryptography
- Gábor Hegedüs + 2 more
- New
- Research Article
- 10.1007/s10623-026-01840-y
- Apr 20, 2026
- Designs, Codes and Cryptography
- Hijiri Kawazoe + 1 more
- New
- Research Article
- 10.1007/s10623-026-01834-w
- Apr 20, 2026
- Designs, Codes and Cryptography
- Steven T Dougherty + 3 more
- New
- Research Article
- 10.1007/s10623-026-01805-1
- Apr 20, 2026
- Designs, Codes and Cryptography
- Amal H Alofi + 4 more
- Research Article
- 10.1007/s10623-026-01813-1
- Apr 1, 2026
- Designs, Codes and Cryptography
- Minki Hhan + 3 more
- Research Article
- 10.1007/s10623-026-01849-3
- Apr 1, 2026
- Designs, Codes and Cryptography
- Mahir Bilen Can + 1 more
Abstract This article introduces Generalized Hyperderivative Reed–Solomon codes (GHRS codes), which generalize NRT Reed–Solomon codes. Its main results are as follows: (1) every GHRS code is MDS, (2) the dual of a GHRS code is also an GHRS code, (3) determine subfamilies of GHRS codes whose members are low-density parity-check codes (LDPCs), and (4) determine a family of GHRS codes whose members are quasi-cyclic. We point out that there are GHRS codes having all of these properties.
- Research Article
- 10.1007/s10623-025-01797-4
- Apr 1, 2026
- Designs, Codes and Cryptography
- Fengwei Li + 3 more
- Research Article
- 10.1007/s10623-026-01835-9
- Apr 1, 2026
- Designs, Codes and Cryptography
- Nurdagül Anbar + 5 more