Mathematical Problems in Engineering

Research Article

A New Method of Constructing a Lattice Basis and Its Applications to Cryptanalyse Short Exponent RSA

Table 2


	$1$	$x$	$y$	$x^{2}$	$y^{2}$	$x y$	$y z$	$x y z$	$y^{2} z$	$y^{2} z^{2}$

$N^{2}$	${Y^{2} N}^{2}$

${x N}^{2}$	*	${X N}^{2}$
${y N}^{2}$	*	*	${Y N}^{2}$
${x^{2} N}^{2}$	*	*	*	${X^{2} N}^{2}$
${y^{2} N}^{2}$	*	*	*	*	${Y^{2} N}^{2}$
${x y N}^{2}$	*	*	*	*	*	${X Y N}^{2}$

$f N$	*	*	*	*	*	*	${Y Z N}^{2}$
$x f N$	*	*	*	*	*	*	*	${X Y Z N}^{2}$
$y f N$	*	*	*	*	*	*	*	*	${Y^{2} Z N}^{2}$
$f^{2}$	*	*	*	*	*	*	*	*	*	${Y^{2} Z^{2} N}^{2}$