2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111127One improves an algebraic attack of NTRU due to Silverman, Smart and Vercauteren; the latter considered the first 2 bits of a Witt vector attached to the research of the secret key; here the first 4 bits are considered, which provides additional equations of degrees 4 and 8.6 pages; correction of the miscalculationsCryptography and Securitytext