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Error correction coding is one of the topics that obtained a lot of studies lately to improve the reliability of communication on digital channels. Thus, this research is carried out in order to find a better and effective way to be included in CDMA system to protect, detect and correct the error bits while information data is transmitted through various kinds of environments. A new encoding algorithm, which is named as logic symbol repetition is introduced to replace the normal symbol repetition in CDMA forward traffic channel. The new logic symbol repetition is a "memorizing" encoding scheme that able to correct the error bits, not only presently received bits but also errors in the previous received bits in case of block noise occurrence. A simulation program is developed to study the performance of error correction by studying the BER of the received information bits.