Passport expires 5 months after return

This is a legal question and it would be better to ask Uncle Mapleleaf than get a bunch of opinions here.

Googled and found this...
http://www.consulfrance-vancouver.org/Documents-needed-when-entering

Whether or not you are required to obtain a visa before travelling, even if you are an Canadian citizen, you may be requested to show the following elements to the French immigration officers upon arrival :

1. a valid passport (still valid 3 months after your expected return from France),

...and from travel.gc.ca...
http://travel.gc.ca/destinations/france

Canadians must present a passport to visit France, which must be valid for at least three months beyond the date of expected departure from that country. Prior to travelling, ask your transportation company about its requirements related to passport validity, which may be more stringent than the country's entry rules.

Less than two minutes to google and found the answer...

You, the traveler, have to be 100% certain on this one--because if you are wrong, or anyone here is wrong and you take their advice, you don't get to board the plane (and I don't think they refund your money).
This happened to travelers a couple of months ago, who reported the sad story here.

here is where it is tricky. The requirement is 3 most after your expected end of trip. But what is the expected end of trip? Well you can stay in Schengen for 90 days -- so some officials interpret the requirement to be 6 mos after entry to accommodate the longest legal entry in the rule.

You probably don't want to rely on strangers on the internet for this but get definitive information from the airline and or French consulate. Airlines don't like to take people they ahve to fly right back because of refused entry.

Seeing as how Canada and France are kissing cousins, I'd start by asking the local Canadian authorities. In person, face to face, and perhaps even get it in writing.

Another tact would be to call the Airline you are flying on. They are the ones that would refuse you boarding and they may have a standard policy. Some airlines seem to apply a flat six months from departure rule, not sure if you meet that, but the airline would be a good data point.