The right-wing, anti-immigration Swiss People's Party (SVP) has won Switzerland's parliamentary election with a record 29.4% of the vote.

Its victory translates into 11 extra seats, giving it 65 out of the total 200 in the lower house. SVP leader Toni Brunner can now forge a majority with other right-wing parties.

Europe's migrant crisis boosted support for the SVP, commentators say - though Switzerland is taking in far fewer migrants than Germany.

The right-wing liberal FDP also got an electoral boost, coming third.

Swiss media are speaking of a "Rechtsrutsch" - a "slide to the right" - because the SVP, FDP and some small right-wing parties can now command a majority in the National Council (lower house).

No such slide has occurred yet in the 46-seat upper house (Council of States), as a second round of voting is required in many cantons.