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中文摘要：
目的 研究F4上维数为3的最优（或拟最优）自正交码的码长与极小距离之间的关系。方法 组合方法。结果 构造出码长n≥21的3维最优（或拟最优）自正交码的生成矩阵，确定出了其中达到Griesmer界的码。结论 给出了3维的最优自正交码码长与距离的规律。
英文摘要：
Aim The relations between length and minimum distance of 3 dimension optimal or near optimal quaternary self-orthogonal codes are investigated. Methods Combinatorial method is used to construct 3 dimension optimal or near optimal quaternary self-orthogonal codes for length. Results The generator matrices of such optimal or near optimal self-orthogonal codes are constructed, and the optimal self-orthogonal codes that achieve the Griesmer bound are determined. Conclusion The characterization of optimal self-orthogonal codes of dimension 3 is given.
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