Roth IRA Eligibility: Basic Question

Marital Status:  MFJ.  Ages 64 and 69.

AGI:  $270,000

We both collect Social Security

Wife has earned income of $6800

I have a government pension of $104,000.  My wife does not have a pension other than SSI.

The rest of our income is investment income.

I understand my wife can make a contribution to a Roth IF we both are not covered by a pension plan. 

 

My question:  Because I am retired and collect a pension, does that mean I am enrolled in a pension plan?