Systems and methods for providing random access in a cellular communications network are disclosed. In general, the cellular communications network is an Orthogonal Frequency Division Modulation (OFDM) based cellular communications network (e.g., a 3GPP LTE cellular communications network) or similar multi-subcarrier based cellular communications network. Random access is performed using a Physical Random Access Channel (PRACH) including subcarriers having a subcarrier frequency spacing that is equal to a subcarrier frequency spacing in one or more other channels of the uplink (e.g., a Physical Uplink Shared Channel (PUSCH)). As a result, the subcarriers in the PRACH are orthogonal to the subcarriers in the other channel(s) of the uplink, which in turn reduces, or substantially eliminates, interference between the PRACH subcarriers and the subcarriers of the other channel(s) of the uplink.