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Suppose $H$ is a hash function; why is $H(k||H(k||m))$ not secure?

See this HMAC definition. In there, indeed two keys are used and the mac algorithm is $H(k_1 ||H(k_2 ||m))$ . Why don't we use $H(k||H(k||m))$, which has only one key?

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@CodesInChaos, would you mind formulating a proper answer using the information from the provided links? – SEJPM Jun 26 at 11:57
@SEJPM I don't have any plans for writing an answer to this question. – CodesInChaos Jun 26 at 12:33

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