计算整数格的基:一种特殊情况

Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation Pub Date : 2022-07-04 DOI:10.1145/3476446.3536184

Haomin Li, A. Storjohann

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摘要

考虑一个列秩为n-1的整数矩阵A ε Znx(n-1)。A的所有行的z -线性组合的集合产生一个晶格，记为L(A)。

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Computing a Basis for an Integer Lattice: A Special Case

Consider an integer matrix A ε Znx(n-1) that has full column rank n-1. The set of all Z-linear combinations of the rows of A generates a lattice, denoted by L(A).

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Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation

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