Guided scrambling (GS) is a line coding technique developed specifical
ly for high bit rate fiber optic transmission systems, This paper cont
inues the development of GS coding by introducing more scrambling poly
nomials that can be used with this technique. First, a method is prese
nted for constructing polynomials which can be used with balanced enco
ding, Then it is shown that these polynomials can be used as bases for
large families of polynomials, an expansion whose usefulness is demon
strated with the presentation of power spectra for several code config
urations, These results indicate that polynomials can be selected from
these families to exercise control over average as well as worst-case
statistics of the encoded bit stream, a property not available with a
ny other single efficient, balanced line coding technique developed to
date, Criteria for polynomial selection are given, and polynomials ar
e recommended for several GS code configurations.