  Cyclic symmetry in the neutrino sector with the type-I seesaw mechanism in
the mass basis of charged leptons and right chiral neutrinos ($N_{iR}$,
$i=e,\mu,\tau$) generates two fold degenerate light neutrino and three fold
degenerate heavy neutrino mass spectrum. Consequently, such scheme, produces
vanishing one light neutrino mass squared difference and lepton asymmetry. To
circumvent such unphysical outcome, we break cyclic symmetry in the diagonal
right chiral neutrino mass term by a small breaking parameter. Nonzero mass
squared differences and mixing angles are generated with the help of the small
breaking parameter. Smallness of the breaking parameter opens up a possibility
of resonant leptogenesis. Assuming complex Yukawa couplings, we derive
generalized expressions flavor dependent CP asymmetry parameters
($\varepsilon^\alpha_i$) which are valid for quasi degenerate as well as
hierarchical mass spectrum of right handed neutrinos. There after we set up the
chain of coupled Boltzmann equations (which are flavor dependent too) which
have to be solved in order to get the final lepton asymmetries. Depending upon
the temperature regime the CP asymmetries and the Boltzmann equations may also
be flavor independent. As our goal is to study the enhancement of CP asymmetry
due to quasi degeneracy of right handed neutrinos, we select only the lowest
allowed (by neutrino oscillation data) value of breaking parameter (and other
corresponding Lagrangian parameters) and estimate the baryon asymmetry
parameter $Y_B$. Experimental constraint of $Y_B$ introduces a bound on right
handed neutrino mass which remained unrestricted by neutrino oscillation data.
