We present new applications of q-binomials, also known as Gaussian binomial coefficients. Our main theorems determine cardinalities of certain error-correcting codes based on Varshamov–Tenengolts codes and prove a curious phenomenon relating to deletion spheres.

中文翻译：

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高斯二项式在编码理论中的误差校正

我们介绍了q-二项式的新应用，也称为高斯二项式系数。我们的主要定理根据Varshamov-Tenengolts码确定某些纠错码的基数，并证明与删除域有关的奇怪现象。