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The separating properties of linear q-ary codes(codes over the finite field GF(q))and their applications were first introduced in [9],and then further studied in [2] and [5],where separating codes were introduced as a type of codes used to realize digital watermarking,and each codeword of a separating code is regarded as a content assigned to a user(each codeword represent the same content)with an embedded watermark.