Anzeige
Erschienen in:
2009 | OriginalPaper | Buchkapitel
The Complexity of (2)-Matrix Operations
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Here, we propose a new model, counting matrix-memory operations instead of field operations, for reasons to be discussed. It turns out this model describes reality only partially—but we will explicitly discuss the circumstances in which the model is descriptive and in which it fails, see Section 7.1.4 on Page 92. The complexity expressions are summarized in Table 7.1 on Page 105. Also of interest are certain data structure choices that we made in arranging our linear algebra library, see Section 9 on Page 133. This library was used by Nicolas Courtois in his cryptographic research, as well as by the author, and now forms part of the
$$\mathbb{G}\mathbb{F}$$
(2) linear algebra suite of SAGE [7], an open source competitor to MAGMA [2], MATLAB [5], MAPLE [3], and MATHEMATICA[4]. These are described in Section 7.4 on Page 94.