A point compression method for elliptic curves defined over GF(2(n))

Here we describe new tools to be used in fields of the form Gf (2(n)), that help describe properties of elliptic curves defined over GF(2(n)). Further, utilizing these tools we describe a new elliptic curve,point compression method, which provides the most efficient use of bandwidth whenever the elliptic curve is defined by y(2) + xy = x(3) + a(2)x(2) + a(6) and the trace of a(2) is zero.