  The main result of this paper is a combinatorial description of a basis of
standard level 1 module for the twisted affine Lie algebra $A_2^{(2)}.$ This
description also gives two new combinatorial identities of G\"ollnitz (or
Rogers--Ramanujan) type. Methods used through the paper are mainly developed by
J. Lepowsky, R. L. Wilson, A. Meurman and M. Primc, and the crucial role in
constructions plays a vertex operator algebra approach to standard
representations of affine Lie algebras.
