Generalization of No sequences
Jong‐Seon No · 2002
GMW sequences and families of No (1988) sequences are generalized. Generalized GMW sequences have ideal autocorrelation properties and balance properties and generalized No (binary pseudorandom) sequences also have optimal correlation properties in terms of Welch's lower bound. The linear spans of the generalized GMW sequences and generalized No sequences appear to be large although we do not at present have a closed-form expression for the linear span. A count of the numbers of cyclically distinct generalized GMW sequences and generalized No sequences that can be constructed is provided.