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We study the use of linear codes for network computing in single-receivernetworks with various classes of target functions of the source messages. Suchclasses include reducible, injective, semi-injective, and linear targetfunctions over finite fields. Computing capacity bounds and achievability aregiven with respect to these target function classes for network codes that userouting, linear coding, or nonlinear coding.

Linear Codes, Target Function Classes, and Network Computing Capacity