Both "during the decoding process" and "during the decoding process of each" are grammatically correct phrases, but they have slightly different meanings.

"During the decoding process" is a general statement that refers to the process of decoding overall. It does not specify if the actions being described are occurring simultaneously across multiple decoding processes or if they are happening at a particular point in time during one decoding process. For example, "During the decoding process, errors may be detected and corrected."

"On the other hand, "during the decoding process of each" is more specific and implies that the actions being described occur during the decoding process of each individual item. It suggests that the decoding process is being performed one item at a time and that the actions being described apply to each item. For example, "During the decoding process of each message, the software will check for errors and report them."

In general, the choice between these phrases depends on the intended meaning and context. If the speaker wants to convey a general statement about the decoding process, they may use "during the decoding process." If they want to emphasize that the actions being described apply to each individual item being decoded, they may use "during the decoding process of each."

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