In characteristic 2, for Lie algebras, a (2,4)-structure is introduced inaddition to the known, "classical", restrictedness. For Lie superalgebras, theclassical restrictedness of Lie algebras has two analogs: $(2|4)$- and$(2|2)$-structures; a $(2,4)|4$-structure on Lie superalgebras is the analog ofa (2,4)-structure on the Lie algebras. In characteristic 2, two procedures that to every simple Lie algebra assignsimple Lie superalgebras, most of them new, are offered. We proved that everysimple finite-dimensional Lie superalgebra is obtained as the result of one ofthese procedures, so we described all simple finite-dimensional Liesuperalgebras modulo non-existing at the moment classification of simplefinite-dimensional Lie algebras. We give references to papers containing aconjectural method to obtain the latter classification and (currentlyincomplete) collections of examples of simple Lie algebras. In characteristic 3, we prove that the known exceptional simplefinite-dimensional vectorial Lie (super)algebras are restricted.
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