This paper investigates the decoding of certain Gabidulin codes that were transmitted over a channel with space-symmetric errors. Space-symmetric errors are additive error matrices that have the property that their column and row spaces are equal. We show that for channels restricted to space-symmetric errors, with high probability errors of rank up to 2(n-k)/3 can be decoded with a Gabidulin code of length n and dimension k, using a weak-self orthogonal basis as code locators.

翻译：本文调查某些加比杜林编码的解码,这些编码是在一条频道上传送的,带有空间对称误差。空间对称误差是具有其列和行空相等属性的添加性误差矩阵。我们显示,对于限于空间对称误差的频道,等级最高为2(n-k)/3的高概率误差,可以用长度为n和尺寸为k的加比杜林编码解码,使用弱的正方位误差基值作为代码定位器。