Families Of Linear Recurring M-fold Multisequences

Limear recurring sequences over is ciphers for cryptographic applications.Recently,in the study of vectorized stream cipher systems,the jiont limear complexity of multise-quences has been investmented.in this paper,we obtain families of linear recurring m-fold multisequences over F_q;Since the F_q-linear spaces F_q and F_qmare isomorphic, an m-fold multisequence S over the finite field F_q with a given characteristic polynomial f∈F_q[x],can be identified with a single sequence S overF_qm with characteristic polynomial f.by further developing the method of Wilfried Meidl and Ferruh(o|¨)zbudak. we derive a general formula of families of linear recurring sequences over F_qm.