"By the same token" is correct. The token gives you two for one, like buying two items with one dollar. Two ideas have a shared cause or basis. You get both "by" using the same token, not by being "at" the same token.

That is not possible. In Token Ring, only the station with the token can transmit.

That sounds like an enticing invitation, but bythe same token, you've used the same line on all the women here.

Wellington New Zealand One pint WCC Token $2 to $4NZ, One Quart token the same.

One or many lexemes can belong to same token(category) and when lexeme recognized by a scanner to be in a some category that category returned as the token.

A lexeme is a section of text, which represents a token. For example in case of a number there are many lexemes representing the same token; for example: "12", "14.8" or "1001". Such general tokens are described by patterns of text.