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In a recent paper, Dong proposed a set of order-16 nonorthogonal integer cosine transforms (NICTs). They proved that the reconstruction error caused by the nonorthogonality is negligible as compared to the error caused by the quantization. However, we would like to point out three problems found in derivations and also give two comments. Nevertheless, the problems are defects only, hence do not affect the overall justifications to the proposed NICT. This letter is to enhance and clarify the proof of Dong 's work.