Cover Feature: On Pentakis(pentafluoroethyl)stannate, [Sn(C2 F5 )5 ]− , and the Gas-Free Generation of Pentafluoroethyllithium, LiC2 F5 (Chem. Eur. J. 8/2018)

A Tropical F5 Algorithm

Let K be a field equipped with a valuation. Tropical varieties over K can be defined with a theory of Gröbner bases taking into account the valuation of K. While generalizing the classical theory of Gröbner bases, it is not clear how modern algorithms for computing Gröbner bases can be adapted to the tropical case. Among them, one of the most efficient is the celebrated F5 Algorithm of Faugère....

Faugere's F5 Algorithm Revisited

,**<»&* Oimey Inst F5

This paper develops a model for research and practice of strategic management of information technology. The model, termed the Strategic Alignment Model, is defined in terms of four domains of strategic choice: business strategy; information technology strategy; organization infrastructure and processes; and information technology infrastructure and processes -each with its constituent dimensio...

Faugère's F5 Algorithm

This report gives pseudocode for an implementation the F5 algorithm, noting errors found both in Faugère's seminal 2002 paper and Stegers' 2006 undergraduate thesis. It also outlines a relatively easy optimization that, in our experience, produces a substiantial improvement to the algorithm's e ciency.

On optimal linear codes over F5

Let nq(k, d) be the smallest integer n for which there exists an [n, k, d]q code for given q, k, d. It is known that n8(4, d) = ∑3 i=0 ⌈ d/8i ⌉ for all d ≥ 833. As a continuation of Jones et al. [Electronic J. Combinatorics 13 (2006), #R43], we determine n8(4, d) for 117 values of d with 113 ≤ d ≤ 832 and give upper and lower bounds on n8(4, d) for other d using geometric methods and some exten...