New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
On the (im)possibility of practical and secure nonlinear filters and combiners
SAC'05 Proceedings of the 12th international conference on Selected Areas in Cryptography
New three-valued walsh transforms from decimations of helleseth-gong sequences
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
| Hi-index | 754.84 |
We show that the cross correlation between two ternary m-sequences of period 3n-1 that differ by the decimation d=2·3m+1, where n=2m+1, takes on three different values. We conjecture the same result for the decimation d=2·3 r+1, where n is odd and r is defined by the condition 4r+1≡0 mod n. These two new cases form in a sense ternary counterparts of two previously confirmed binary cases, the conjectures of Welch and Niho (1972)