South Korean President Park Geun-hye said the boycott by North Korea would harm the country's credibility.
South Korean President Park Geun-hye on Tuesday called for North Korea to take a different approach.
On Monday, South Korean President Park Geun-hye said that she took the threats from Pyongyang "very seriously".
They are now waiting to see what President-elect Park Geun-Hye does when she takes office next month.
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South Korea will have a new president as of Feb. 25, Park Geun-hye, said to be a moderate conservative.
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But if Park Geun-hye, months down the road, wants to engage, then the U.S. will go along with that too.
Late last week, South Korea's new President, Park Geun-hye, warned that the security situation on the Korean Peninsula was "very grave".
President Barack Obama and South Korean President Park Geun-hye emphasized a united front when they met in Washington this month.
South Korean officials said the aid shipments could form a pillar of recently elected President Park Geun-hye's "trust" policy toward Pyongyang.
Spending on science and technology is expected to increase under South Korea's incoming President Park Geun-hye, who takes office next month.
President-elect Park Geun-hye has said she wants to rebuild trust, and - eventually - economic and diplomatic contacts with the North.
Some analysts predicted the test would come around the time of inauguration of South Korea's new president, Park Geun-hye, on Feb. 25.
Park Geun-hye of the ruling conservative Saenuri party faces Moon Jae-in of the liberal Democratic United Party in the 19 December polls.
President Park Geun-hye was briefed about the incident shortly after it began and instructed her staff to seek the cause of the outages.
To further coordinate their response, South Korea's new president, Park Geun-hye, will meet with President Barack Obama on May 7 at the White House.
The visit to Japan would have been the first by the South Korean foreign minister since the new administration of Park Geun-hye took power earlier this year.
Mr Kerry said that in his talks with South Korean President Park Geun-hye she had made clear her "bright vision" of a peaceful Korean peninsula free of nuclear weapons.
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It would have been the first full-fledged ministerial meeting between the two governments under their new leaders, Mr. Abe and President Park Geun-hye, who took power in December and February, respectively.
Critics say Park Geun-hye's North Korea policy lacks specifics.
Under newly inaugurated President Park Geun-hye, South Korea's Defense Ministry, which often brushes off North Korean threats, has looked to send a message of strength in response to the latest comments from Pyongyang.
The ruling party's presidential contender is Park Geun-hye.
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Mr. Abe's remarks on Wednesday came after the Japanese press reported that concerns over his interpretation of history were expressed in a meeting between U.S. President Barack Obama and his South Korean counterpart Park Geun-hye in Washington.
The new South Korean government has separated humanitarian aid from nuclear weapons negotiations, and President Park Geun-hye has patiently held out an olive branch in the form of her "trustpolitik" policy, which promises step-by-step efforts to stabilize inter-Korean relations.
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