The New Hampshire Exchange agreement refers to a legal arrangement between Noble Drilling Corp. and parties in the state of New Hampshire. This agreement aims to facilitate the exchange of certain assets, rights, or interests between Noble Drilling Corp. and the residents or entities based in New Hampshire. As for the increase in authorized common stock by Noble Drilling Corp., it refers to a corporate decision made by the company to raise the total number of shares of common stock it is authorized to issue. This action allows the company to potentially raise additional capital, provide flexibility for future business endeavors, or reward existing shareholders. There are no specific types of New Hampshire Exchange agreements or increase in authorized common stock by Noble Drilling Corp. associated with the information provided. However, it's worth mentioning that different types of exchange agreements and stock authorizations can exist, tailored to the specific needs and circumstances of companies involved. Keywords: New Hampshire Exchange agreement, authorized common stock, Noble Drilling Corp., legal arrangement, assets, rights, interests, residents, entities, corporate decision, shares, capital, flexibility, shareholders.