Absolute coset leaders were first proposed by the authors which have advantages in constructing binary LCD BCH codes. As a continue work, in this paper we focus on ternary linear codes. Firstly, we find the largest, second largest, and third largest absolute coset leaders of ternary primitive BCH codes. Secondly, we present three classes of ternary primitive BCH codes and determine their weight distributions. Finally, we obtain some LCD BCH codes and calculate some weight distributions. However, the calculation of weight distributions of two of these codes is equivalent to that of Kloosterman sums.
翻译：绝对组合头目首先由作者提出,他们在构建二元LCD BCH代码方面有优势。 作为一项持续的工作,我们在本文中侧重于双向线性代码。 首先,我们发现永恒原始BCH代码的最大、第二大、第三大绝对组合头目。 第二,我们提出了三种类型的永恒原始BCH代码并确定其重量分布。 最后,我们获得了一些LCD BCH代码,并计算了一些重量分布。 然而,对其中两种代码重量分布的计算与Kloosterman的数值相等。
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