A quadratic form approach to Construction A of lattices over cyclic algebras
We propose a construction of lattices from (skew-) polynomial codes, by endowing quotients of some ideals in both number fields and cyclic algebras with a suitable trace form. We give criteria for unimodularity. This yields integral and unimodular lattices with a multiplicative structure. Example...
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| Main Authors: | , |
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| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2020
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/144335 |
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| 機構: | Nanyang Technological University |
| 語言: | English |