Microcapsule consisting of or containing: - a core consisting of or comprising an oxidizable active agent (OA), said core being optionally surrounded by a precoating consisting of or comprising an antioxidant compound X, said core being, optionally surrounded by a precoating consisting of or comprising said antioxidant compound X, optionally surrounded by a coating consisting of or comprising a water insoluble compound, - a first layer surrounding the core by any of: - an organic or water soluble solvent, in particular ethanol, a soluble encapsulation agent (EA 1), or - means for inducing water insolubility of said encapsulation agent (MII 1), * a second layer surrounding the first layer by: - an organic or water-soluble solvent, in particular ethanol, the soluble encapsulation agent (EA 1) when the first layer is means for inducing water insolubility of said encapsulating agent psulation, - means for inducing water insolubility of a soluble encapsulation agent (MII 1) soluble in water or organic solvent, in particular ethanol, when the first layer is said encapsulating agent, comprising the first or second core layer optionally also an antioxidant compound Y, and - an alternation of n layers of encapsulating agents (EA 2) soluble in water or in organic solvent, in particular ethanol, and of m layers of means for inducing water insolubility of said encapsulating agents (MII 2), which surround the second layer, from a layer of the same nature as the nature of the first, m being equal to 1, 2, 3, 4, 5, 6, 7, 8, 9 or 10 , n>; = m, when the first layer is said EA 1, on>; = m - 1, when the first layer is said MII 1, the last layer being MII 2, each EA 2 being preceded and / or followed by means for induce water insolubility (MII 2) of said EA2, with the proviso that: when the first layer is MII 1 and the second layer is EA 1, and when m is equal to 1, MII 2 is a means to induce water insolubility of EA 1.Microcápsula que consiste en o que contiene: - un núcleo que co