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This paper presents a tree-based algebraic construction of nested cyclic codes through a tree construction method. These codes can be used to encode different data packets, producing codewords that are added for transmission. Both encoding and decoding are performed by polynomial operations with no need of side information, so the proposed scheme may be useful in applications that require low computational complexity. In cases where the number of information sources is large, it is convenient to design the system in a systematic manner. Hence, the tree construction method may contribute to simplify the code design.