Weak-key distinguishers pop out of a split-and-cancel oracle, extending integral attacks to SIMON, SPECK, PRESENT, and GIFT.

Boolean functions get partitioned by inner products, then analyzed for slice complexity, GSW-style homomorphic eval, and crypto metrics.

Adds k-idempotent bent functions in the partial spread class; existence for all k|n up to 3, and k=1,2 are fully characterized.