Pseudo-randomness properties of binary shift register sequences (Corresp.)
S. Fredricsson · IEEE Transactions on Information Theory · 1975
TheM-tuple weight distribution and high-order autocorrelations of binarym-sequences are related to the weight distribution of the shortened Hamming code, which is dual to them-sequence code. It is shown that good weight distribution and correlation properties can be achieved simultaneously only if them-sequence is sufficiently long.