Closed galois field combination

Details Closed galois field combination Closed galois field combination

H - Electricity

03

M

H03M 7/00 (2006.01) H03M 13/00 (2006.01) H04L 9/28 (2006.01)

Patent

CA 2632857

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 k]. The mapping step involves mapping the first and second number sequences to a Galois extension field GF[p 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 k+1]. p is a prime number. k is an integer. p k+1 defines a finite field size of the Galois extension field GF[p k+1].

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