The British tech tycoon will be extradited to the US to face fraud charges.
The founder of Autonomy lost a fraud action in London on Friday.
Hewlett Packard paid $11 billion for his firm in 2011.
He is accused of inflating the value of the company before it was sold.
HP sued Sushovan Hussain, the founder and former chief financial officer of Autonomy, for around $5 billion, claiming they artificially inflated the company's reported revenues, revenue growth and gross margins.
The UK's biggest civil fraud trial was heard over nine months, but Mr Justice Hildyard said that HP had "substantially won" its case.
He said the company was likely to receive less in damages than they claimed.
Dr Lynch said on Friday that he would appeal.
Mr Hussain was jailed for five years in the US for his role in the sale of Autonomy.
On the same day as the court decision, the home secretary had to make a decision on whether or not the tech mogul should be extradited to the US to face trial for 14 counts of conspiracy and fraud.
The Extradition Act 2003 requires the secretary of state to sign an order if there are no grounds to stop it. Once a judge decides that extradition can go ahead, it is sent to the home secretary.
The courts decided on January 28 to extradite Dr Michael Lynch to the US.
Dr Lynch firmly denies the charges brought against him in the US and will continue to fight to establish his innocence, according to a statement by Kelwin Nicholls of law firm Clifford Chance.
He is a British citizen who ran a company in Britain that was subject to British laws and rules. This is not the end of the battle.
The lawyer said that Dr Lynch would appeal to the High Court in London.
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