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Linear complexity of sequences over arbitrary symbols and constructions of sequences over GF(pk) whose characteristic polynomial is over GF(p)

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4 Author(s)
Yun-Pyo Hong ; Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea ; Yu-Chang Eun ; Jeong-Heon Kim ; Hong-Yeop Song

We propose an appropriate approach of defining the linear complexity of sequences over an unknown symbol set. We are able to characterize those p-ary sequences whose k-tuple versions now over GF(pk) have the same characteristic polynomial as the original with respect to any basis. This leads to a construction of pk-ary sequences whose characteristic polynomial is essentially over GF(p).

Published in:

Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on

Date of Conference:

2002