Encoding System for Incremental Redundancy for Hybrid ARQ for Wireless Networks A technique is provided for encoding, by an outer encoder, a set of information bits; performing, by each polar sub-encoder of a set of polar sub-encoders, polar encoding of bits received from the outer encoder for a corresponding incremental redundancy (IR) hybrid ARQ (HARQ) transmission; and performing, by an inner encoder, for each bit input to the inner encoder from one of the polar sub-encoders for the HARQ transmission, an Exclusive Or (XOR) operation with another bit, to generate a set of code bits for an IR-HARQ transmission over a channel.