I think there is a restriction of 5 total rounds for BIG GAME which would include boar but I can't locate it quickly. I'm sure some of the "DFG legal guns" on this site will sort it out for you.
Are there three shell shotgun limits when nongame hunting?
Question: While hunting coyotes in California with a shotgun, am I limited to only three shells in my shotgun like when hunting waterfowl? (Mick M.)
Answer: No, you may take coyotes and other nongame species with a shotgun capable of holding no more than six shells total – five in the magazine and one in the chamber.
No person may possess a shotgun capable of holding more than six shells total while hunting (Fish and Game Code, section 2010). In the case of coyotes, you would be restricted to non-lead shot or slugs within the condor range. When taking any game animals, you are restricted to a three shot capacity. But for nongame species, like coyote, the three shot capacity does not apply.
Andy,
DFG doesn't regulate mag capacity except for shotguns. They defer to CA DOJ rules which currently is 10 rd max.
From the recent DFG Q&A page:
Thanks guys. I new shot placement would be critical. So I DO need to buy a 308. Darn it!
Thanks guys. I new shot placement would be critical. So I DO need to buy a 308. Darn it!

My hunting partner has a 30-06 he hasn't used yet for hunting. I thought it would destroy half the meat. Is that not true? I thought a mid size rifle would be best. I don't really know many mid size calibers. Guess it's research time.