QuadCore it is...
That next Galaxy phone would likely be the Galaxy S3.
Other Exynos 4 Quad highlights that presage Galaxy S3 features:
•Full-speed video: uses HD 30 frame per second video hardware codec engine for 1080p video recording and play-back; also, includes an embedded image signal processor interface for a high-quality camera and an HDMI 1.4 interface.
•Speed jump: Owing to its 32-nanometer tech, the Exynos 4 Quad has "two times the processing capability over the 45-[nanometer] process based Exynos 4 Dual while consuming 20-percent less power," Samsung said.
•Ready to plug into new phones: Exynos 4 Quad is "pin-to-pin compatible" with the Exynos 4 Dual, allowing smartphone and tablet suppliers to adopt the new solution without additional engineering or design efforts.
•Based on ARM Cortex A9 design: Based on the current Cortex A9 tech from ARM. The latest and greatest ARM tech is called Cortex A15 but those chips won't emerge as commercial products for a while yet.