Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
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Publication:1811090
DOI10.1016/S0166-218X(02)00434-1zbMath1040.94013MaRDI QIDQ1811090
Publication date: 10 June 2003
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Unnamed Item
- Optimal and suboptimal quadriphase sequences derived from maximal length sequences over \(\mathbb{Z}_4\)
- Cyclic codes over the integers modulo \(p^m\).
- Transform domain characterization of cyclic codes over \(\mathbb{Z}_ m\)
- Modular and \(p\)-adic cyclic codes
- 4-phase sequences with near-optimum correlation properties
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Z/sub 2/k-linear codes
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
- Cyclic codes and quadratic residue codes over Z/sub 4/
- On repeated-root cyclic codes
- Repeated-root cyclic codes
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