Some results on correlations of helleseth-gong sequences

Sequences are important arguments that uses in coding area however, not all of the sequences, only the sequences which have low correlation distribution have many appliances. In some of these appliances more than one user can connect through the same connection channel. Helleseth and Gong found a sequence with the function which they found and they showed that the decimation numbers' correlation of these sequence have three distributions. Researches in the literature showed that these decimation numbers are found specially with the d (decimation) number. In this thesis, the author analyzed which of the Helleseth-Gong sequence have three valued distributions and proved that the distribution can be three valued distribution for the di erent d numbers. In addition, a new observation which has a hard proof was found and its correctness proved by written SAGE code. To prove of this observation, a di erent technique is needed.