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  • New
  • Research Article
  • 10.1007/s10623-026-01847-5
On block-transitive 3-designs with a chain of imprimitive partitions
  • May 1, 2026
  • Designs, Codes and Cryptography
  • Yihui Li + 1 more

  • New
  • Research Article
  • 10.1007/s10623-026-01802-4
Weights of a class of projective geometry codes
  • Apr 20, 2026
  • Designs, Codes and Cryptography
  • Meng Sun + 2 more

  • New
  • Research Article
  • 10.1007/s10623-026-01839-5
Codes with symmetric distances
  • Apr 20, 2026
  • Designs, Codes and Cryptography
  • Gábor Hegedüs + 2 more

  • New
  • Research Article
  • 10.1007/s10623-026-01840-y
Self-dual matrix codes over Galois rings
  • Apr 20, 2026
  • Designs, Codes and Cryptography
  • Hijiri Kawazoe + 1 more

  • New
  • Research Article
  • 10.1007/s10623-026-01834-w
Codes over an infinite family of local rings of order $$2^{5^k}$$ with two Gray maps
  • Apr 20, 2026
  • Designs, Codes and Cryptography
  • Steven T Dougherty + 3 more

  • New
  • Research Article
  • 10.1007/s10623-026-01805-1
New constructions of optimal symbol-pair constacyclic codes of length $$4p^s$$
  • Apr 20, 2026
  • Designs, Codes and Cryptography
  • Amal H Alofi + 4 more

  • Research Article
  • 10.1007/s10623-026-01813-1
A hybrid of lattice-reduction and Meet-LWE via near-collision on babai’s plane
  • Apr 1, 2026
  • Designs, Codes and Cryptography
  • Minki Hhan + 3 more

  • Open Access Icon
  • Research Article
  • 10.1007/s10623-026-01849-3
Generalized hyperderivative Reed–Solomon codes
  • 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
Quasi-cyclic binary extended and expurgated Goppa codes and their parameters
  • Apr 1, 2026
  • Designs, Codes and Cryptography
  • Fengwei Li + 3 more

  • Research Article
  • 10.1007/s10623-026-01835-9
Analysis of some classes of bent partitions and vectorial bent functions
  • Apr 1, 2026
  • Designs, Codes and Cryptography
  • Nurdagül Anbar + 5 more