| ชื่อเรื่อง | : | From skew-cyclic codes to asymmetric quantum codes |
| นักวิจัย | : | Ezerman, Martianus Frederic , Ling, San , Sole, Patrick , Yemen, Olfa |
| คำค้น | : | DRNTU::Science::Mathematics. |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2554 |
| อ้างอิง | : | Ezerman, M. F., Ling, S., Solé, P., & Yemen, O. (2011). From skew-cyclic codes to asymmetric quantum codes. Advances in Mathematics of Communications, 5 (1), 41–57. , http://hdl.handle.net/10220/7623 , http://dx.doi.org/10.3934/amc.2011.5.41 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Advances in mathematics of communications |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | We introduce an additive but not F4-linear map S from Fn4 To F24n and exhibit some of its interesting structural properties. If C is a linear [n, k, d]4-code, then S(C) is an additive (2n, 22k, 2d)4-code. If C is an additive cyclic code then S(C) is an additive quasi-cyclic code of index 2. Moreover, if C is a module θ-cyclic code, a recently introduced type of code which will be explained below, then S(C) is equivalent to an additive cyclic code if n is odd and to an additive quasi-cyclic code of index 2 if n is even. Given any (n, M, d)4-code C, the code S(C) is self-orthogonal under the trace Hermitian inner product. Since the mapping S preserves nestedness, it can be used as a tool in constructing additive asymmetric quantum codes. |
| บรรณานุกรม | : |
Ezerman, Martianus Frederic , Ling, San , Sole, Patrick , Yemen, Olfa . (2554). From skew-cyclic codes to asymmetric quantum codes.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Ezerman, Martianus Frederic , Ling, San , Sole, Patrick , Yemen, Olfa . 2554. "From skew-cyclic codes to asymmetric quantum codes".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Ezerman, Martianus Frederic , Ling, San , Sole, Patrick , Yemen, Olfa . "From skew-cyclic codes to asymmetric quantum codes."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2554. Print. Ezerman, Martianus Frederic , Ling, San , Sole, Patrick , Yemen, Olfa . From skew-cyclic codes to asymmetric quantum codes. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2554.
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