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 utilizin g 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 Galo is extension field GF[p k+1].
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机译：提供了一种用于在通信系统中组合两个或更多个输入序列以以资源高效的方式增加输入序列的重复周期的方法。该方法包括接收步骤，映射步骤和生成步骤。接收步骤涉及接收第一数字序列和第二数字序列，它们分别在伽罗瓦域GF [p k]中表示。映射步骤涉及将第一和第二数字序列映射到伽罗瓦扩展字段GF [p k + 1]。生成步骤包括利用Galois扩展域GF [p k + 1]中的Galois域乘法运算，通过将第一数字序列与第二数字序列组合来生成输出序列。 p是质数。 k是整数。 p k + 1定义了Galo扩展字段GF [p k + 1]的有限字段大小。
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