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We show that the accumulated LEP-II data taken at $\sqrt{s} =$ 130 to 206 GeVcan establish more restrictive bounds on doubly charged bileptons couplings andmasses than any other experiment so far. We also analyze the discoverypotential of a prospective linear collider operating in both $e^+ e^-$ and $e\gamma$ modes.Comment: Revised version with 14 pages, 7 figures, RevTex. To appear in Phys.  Rev.

New limits on doubly charged bileptons from CERN LEP data and the search at future electron-positron and electron-photon colliders