| ชื่อเรื่อง | : | Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes |
| นักวิจัย | : | Jin, Lingfei , Xing, Chaoping |
| คำค้น | : | - |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2554 |
| อ้างอิง | : | Jin, L., & Xing, C. (2012). Euclidean and Hermitian Self-Orthogonal Algebraic Geometry Codes and Their Application to Quantum Codes. IEEE Transactions on Information Theory, 58(8), 5484-5489. , http://hdl.handle.net/10220/11432 , http://dx.doi.org/10.1109/TIT.2011.2177066 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | IEEE transactions on information theory |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | In the present paper, we show that if the dimension of an arbitrary algebraic geometry code over a finite field of even characteristic is slightly less than n/2-g with n being the length of the code and g being the genus of the base curve, then it is equivalent to an Euclidean self-orthogonal code. Previously, such results required a strong condition on the existence of a certain differential. We also show a similar result on Hermitian self-orthogonal algebraic geometry codes. As a consequence, we can apply our result to quantum codes and obtain some good quantum codes. In particular, we obtain a q-ary quantum [[q+1,1]]-MDS code for an even power q which is essential for quantum secret sharing. |
| บรรณานุกรม | : |
Jin, Lingfei , Xing, Chaoping . (2554). Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Jin, Lingfei , Xing, Chaoping . 2554. "Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Jin, Lingfei , Xing, Chaoping . "Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2554. Print. Jin, Lingfei , Xing, Chaoping . Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2554.
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