In order to address the large variety of channel coding options specified in existing and future digital communication standards, there is an increasing need for flexible solutions. This paper presents a multi-core architecture which supports convolutional codes, binary/duo-binary turbo codes, and LDPC codes. The proposed architecture is based on Application Specific Instruction-set Processors (ASIP) and avoids the use of dedicated interleave/deinterleave address lookup memories. Each ASIP consists of two datapaths one optimized for turbo and the other for LDPC mode, while efficiently sharing memories and communication resources. The logic synthesis results yields an overall area of 2.6mm2 using 90nm technology. Payload throughputs of up to 312Mbps in LDPC mode and of 173Mbps in Turbo mode are possible at 520MHz, fairing better than existing solutions.