Reliable data transmission using IBRC and LT codes over AWGN channels

LT codes promise reliable transmissions of data over erasure channels. They also work satisfactorily over interference channels after cyclic redundancy check (CRC) is introduced into the transmission system. In this paper, we will propose a set of codes named improved binary repetition codes (IBRCs) derived from block repetition codes using cyclic shifts. With comparatively lower complexity, IBRCs serve as an inner channel codes concatenated after LT pre-coding to maintain the reliability of LT codes over interference channels without using additional CRC bits. We want to show that IBRC is capable of replacing the conventional schemes involving CRC at larger SNRs with the same performance but much lower complexity, while at lower SNRs, if we take the tradeoff between performance and complexity into consideration, IBRC challenges the conventional CRC schemes. We will give numerical results to demonstrate that the proposed solution is an effective scheme worth evaluating and bringing into practice.