| ชื่อเรื่อง | : | Constructions A of lattices from number fields and division algebras |
| นักวิจัย | : | Vehkalahti, Roope , Kositwattanarerk, Wittawat , Oggier, Frédérique |
| คำค้น | : | DRNTU::Science::Mathematics::Algebra |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2557 |
| อ้างอิง | : | Vehkalahti, R., Kositwattanarerk, W., & Oggier, F. Constructions a of lattices from number fields and division algebras. 2014 IEEE International Symposium on Information Theory (ISIT), 2326-2330. , http://hdl.handle.net/10220/20940 , http://dx.doi.org/10.1109/ISIT.2014.6875249 , 176801 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | - |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | There is a rich theory of relations between lattices and linear codes over finite fields. However, this theory has been developed mostly with lattice codes for the Gaussian channel in mind. In particular, different versions of what is called Construction A have connected the Hamming distance of the linear code to the Euclidean structure of the lattice. This paper concentrates on developing a similar theory, but for fading channel coding instead. First, two versions of Construction A from number fields are given. These are then extended to division algebra lattices. Instead of the Euclidean distance, the Hamming distance of the finite codes is connected to the product distance of the resulting lattices, that is the minimum product distance and the minimum determinant respectively. |
| บรรณานุกรม | : |
Vehkalahti, Roope , Kositwattanarerk, Wittawat , Oggier, Frédérique . (2557). Constructions A of lattices from number fields and division algebras.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Vehkalahti, Roope , Kositwattanarerk, Wittawat , Oggier, Frédérique . 2557. "Constructions A of lattices from number fields and division algebras".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Vehkalahti, Roope , Kositwattanarerk, Wittawat , Oggier, Frédérique . "Constructions A of lattices from number fields and division algebras."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2557. Print. Vehkalahti, Roope , Kositwattanarerk, Wittawat , Oggier, Frédérique . Constructions A of lattices from number fields and division algebras. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2557.
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