Treffer: Well-rounded lattices from odd prime degree number fields in the ramified case.

Recently, algebraic lattices have been widely considered for applications in coding theory and cryptography. Likewise, well-rounded lattices have proven useful for signal transmission in MIMO and SISO wiretap channels. Previous works have conducted extensive studies on well-rounded algebraic lattices. One of them demonstrates the existence of well-rounded lattices obtained through the Minkowski embedding, representing the image of ℤ-modules in the ring of integers of cyclic number fields 핂 of odd prime degree p, where p remains unramified in the extension 핂/ℚ. In this work, we consider the case where p is ramified in 핂/ℚ and introduce a family of ℤ-modules that realize well-rounded algebraic lattices in ℝ^p for many (potentially infinitely many) values of p. [ABSTRACT FROM AUTHOR]

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