Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/144335
Title: A quadratic form approach to Construction A of lattices over cyclic algebras
Authors: Berhuy, Grégory
Oggier, Frédérique
Keywords: Science::Mathematics::Algebra
Issue Date: 2021
Source: Berhuy, G., & Oggier, F. (2021). A quadratic form approach to Construction A of lattices over cyclic algebras. Journal of Pure and Applied Algebra, 225(6), 106600-. doi:10.1016/j.jpaa.2020.106600
Journal: Journal of Pure and Applied Algebra
Abstract: 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. Examples are provided.
URI: https://hdl.handle.net/10356/144335
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2020.106600
Rights: © 2020 Elsevier B.V. All rights reserved.This paper was published in Journal of Pure and Applied Algebra and is made available with permission of Elsevier B.V.
Fulltext Permission: embargo_20231231
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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