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本文提出了广义正交性的新概念,并在 SBIBD 理论的基础上得到了一类广义正交码。作者给出了广义正交码的两种编码和译码实现方案,并且通过软件和硬件得到了验证。对于由 SBIBD(ν,k,λ)构成的广义正交码,其码效恒为1/2,最大纠错能力为[k/2],最小纠错能力为[k/(2λ)]。当λ=1时,广义正交码就是通常意义下的正交码,其纠错能力恒为[k/2]。
In this paper, a new concept of generalized orthogonality is proposed. Based on SBIBD theory, a class of generalized orthogonal codes is obtained. The author gives two schemes of coding and decoding of generalized orthogonal codes, and verifies them with software and hardware. For a generalized orthogonal code consisting of SBIBD (ν, k, λ), its code efficiency is 1/2, the maximum error correction capability is [k / 2] and the minimum error correction capability is [k / (2λ)]. When λ = 1, the generalized orthogonal code is the orthogonal code in the usual sense, whose error correction capability is constant [k / 2].