Closed galois field combination
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United States of America Patent
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Aug 9, 2011
Grant Date -
Feb 12, 2009
app pub date -
May 31, 2007
filing date -
May 31, 2007
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Abstract
A method is provided for combining two or more input sequences in a communications system to increase a repetition period of the input sequences in a resource-efficient manner. The method includes a receiving step, a mapping step, and a generating step. The receiving step involves receiving a first number sequence and a second number sequence, each expressed in a Galois field GF[p.sup.k]. The mapping step involves mapping the first and second number sequences to a Galois extension field GF[p.sup.k+1]. The generating step involves generating an output sequence by combining the first number sequence with the second number sequence utilizing a Galois field multiplication operation in the Galois extension field GF[p.sup.k+1]. p is a prime number. k is an integer. p.sup.k+1 defines a finite field size of the Galois extension field GF[p.sup.k+1].
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