CLOSED GALOIS FIELD COMBINATION

摘要

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|.