A network access node for a wireless communication system , the network access node being configured to generate a subset of sequences S k belonging to a set of sequences S , - wherein the subset of sequences S k comprises a plurality of cubic phase polynomial sequences s i , s j of length L with a third order coefficient value a 3 , - wherein an auto-correlation for a sequence s i in the generated subset of sequences with a cyclically shifted version of itself s i ′ is less than or equal to L when the cyclically shifted version s i ′ is cyclically shifted less than a cyclical shift value N CS , - wherein a cross-correlation between a first sequence s i and a second sequence s j in the generated subset of sequences S k is less than or equal to L , and - wherein a cross-correlation between the first sequence s i and the second sequence s j in the generated subset of sequences S k is less than or equal to L when one of the first sequence s i and the second sequence s j is cyclically shifted less than the cyclical shift value N CS ; transmit a control message to a client device , wherein the control message indicates the cyclical shift value N CS and the third order coefficient value a 3 ; and receive a cubic polynomial phase sequence s i as a random access preamble from the client device . generate a subset of sequences S k belonging to a set of sequences S , - wherein the subset of sequences S k comprises a plurality of cubic phase polynomial sequences s i , s j of length L with a third order coefficient value a 3 , - wherein an auto-correlation for a sequence s i in the generated subset of sequences with a cyclically shifted version of itself s i ′ is less than or equal to L when the cyclically shifted version s i ′ is cyclically shifted less than a cyclical shift value N CS , - wherein a cross-correlation between a first sequence s i and a second sequence s j in the generated subset of sequences S k is less than or equal to L , and - wherein a cross-correlation between the first sequence s i and the second sequence s j in the generated subset of sequences S k is less than or equal to L when one of the first sequence s i and the second sequence s j is cyclically shifted less than the cyclical shift value N CS ; - wherein the subset of sequences S k comprises a plurality of cubic phase polynomial sequences s i , s j of length L with a third order coefficient value a 3 , - wherein an auto-correlation for a sequence s i in the generated subset of sequences with a cyclically shifted version of itself s i ′ is less than or equal to L when the cyclically shifted version s i ′ is cyclically shifted less than a cyclical shift value N CS , - wherein a cross-correlation between a first sequence s i and a second sequence s j in the generated subset of sequences S k is less than or equal to L , and - wherein a cross-correlation between the first sequence s i and the second sequence s j in the generated subset of sequences S k is less than or equal to L when one of the first sequence s i and the second sequence s j is cyclically shifted less than the cyclical shift value N CS ; transmit a control message to a client device , wherein the control message indicates the cyclical shift value N CS and the third order coefficient value a 3 ; and receive a cubic polynomial phase sequence s i as a random access preamble from the client device . <EOS>