On the Linear Complexity of Legendre Sequences - Information Theory, IEEE Transactions on
نویسندگان
چکیده
In this correspondence we determine the linear complexity of all Legendre sequences and the (monic) feedback polynomial of the shortest linear feedback shift register that generates such a Legendre sequence. The result of this correspondence shows that Legendre sequences are quite good from the linear complexity viewpoint.
منابع مشابه
Linear span of extended sequences and cascaded GMW sequences
In this correspondence, the linear span of extended sequences of period 2 1 which are constructed from the ideally correlated sequences of period of 2 1 is derived. It is also shown that the linear span of cascaded GMW sequences can be derived in the same context. As examples, the linear span of extended Legendre sequences and cascaded GMW sequences with triple trace are computed.
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