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TIT
1998
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13 years 4 months ago
Autocorrelation Values of Generalized Cyclotomic Sequences of Order Two
—The generalized cyclotomic sequence of order two has several good randomness properties and behaves like the Legendre sequence in several aspects. In this correspondence we calc...
Cunsheng Ding
DCC
2001
IEEE
14 years 4 months ago
Trace Representation of Legendre Sequences
In this paper, a Legendre sequence of period p for any odd prime p is explicitely represented as a sum of trace functions from GF(2n) to GF(2), where n is the order of 2 mod p.
Jeong-Heon Kim, Hong-Yeop Song