  Given two quadratic lattices $M$ and $N$ over a dyadic local field $F$, i.e.
a finite extension of ${\mathbb Q}$, we give necessary and sufficient
conditions such that $M$ represents $N$. Previous results on this problem were
obtained by O.T. O'Meara in 1958, who solved this problem in the case when the
base field $F$ is 2-adic, i.e. a non-ramified extension of ${\mathbb Q}_2$, and
by C. Riehm in 1964, who solved the case when $M$ is unimodular. Some notable
work on quadratic forms over dyadic local fields, in particular, on
representations has also been done by Fei Xu.
  Our result is given in terms of BONGs (bases of norm generators), which is a
new way to describe quadratic lattices over dyadic local fields, complimentary
to the more traditional Jordan splittings. However, they can be easily
translated in the language of Jordan splittings. The use of BONGs is not meant
to completely replace the Jordan splitting. Neither they make the proofs
shorter. The study of quadratic lattices over dyadic local fields is well known
to be very complicated and technical. However, by using BONGs the results can
be written in a more compact form and it is easier to make educated guesses on
general results by extrapolating results in small dimensions.
