Methods, devices and systems for generating physical random access channel sequences that can be used to efficiently access a wireless network are disclosed. One exemplary method of accessing a wireless network includes generating a repeated orthogonal sequence by repeating a base orthogonal sequence, generating a random access sequence by applying a window function to the repeated orthogonal sequence, and accessing the wireless network using a random access procedure by selectively using the random access sequence. In an example, the base orthogonal sequence may be a Zadoff-Chu sequence. In another example, the window function may be a root-Hamming window.