This paper clarifies the bit error rate (BER) performance of a new multicarrier code division multiple access (MC-CDMA) scheme without the multiple access interference (MAI) and inter carrier interference (ICI) over a very large delay spread channel, which can be characterized by a block coding technique using a set of sequences with a zero correlation zone (ZCZ code) and the minimum mean square error (MMSE) Rake receiver with a pilot-symbol-aided channel estimation to remove MAI and ICI, and to reduce the influence of the inter symbol interference (ISI), respectively. It is not necesseary to use the frequency domain equalization technique which has been always applied in multicarrier communications. The length of delay chips is related to only block size and does not depend on the size of the zero correlation zone and the number of users.