I
NSTANCE
:
Prime number
q
, set
of polynomials
of degree at most 2 over GF[
q
] in
n
variables. The polynomials may not
contain any monomial
for any
i
.
S
OLUTION
:
A subset
of the polynomials such that there is a root common
to all polynomials in
P'
.
M
EASURE
:
Cardinality of the subset, i.e.,
|P'|
.
Bad News:
Not approximable within
for any
[
165
].
Comment:
Over the rationals or over the reals the problem is
not approximable within
for any
[
165
].
For linear polynomials the problem is not approximable within
for some
[
10
].