BALANCED NONBINARY SEQUENCES WITH GOOD PERIODIC CORRELATION-PROPERTIES OBTAINED FROM MODIFIED KUMAR-MORENO SEQUENCES

Recently, Kumar and Moreno presented a new family of nonbinary sequenc es which has not only good periodic correlation properties but also th e largest family size. In this correspondence, first the unbalanced pr operties for Kumar-Moreno sequences are pointed out. Second, a new fam ily of balanced nonbinary sequences obtained from modified Kumar-Moren o sequences is proposed, and it is shown that the new family has the s ame optimal periodic nontrivial correlation as the family of Kumar-Mor eno sequences and consists of the balanced nonbinary sequences. On the other hand, it is shown that the cost of making sequences balanced is a decrease of family size in addition to the condition that n is an e ven number. In particular, let the length of Kumar-Moreno sequences an d the new sequences be the same and equal to p(n) - 1 with n even, the n the family size of the new sequences is p(n/2) which is much smaller than pn, that of Kumar-Moreno sequences.