The contraband barons that thrived under Mr Stroessner's protection are turning to legitimate trade.
"We won't allow the rehabilitation of Stroessner's legacy", said one of the banners carried by the demonstrators.
BBC: Row over Paraguay dictator Alfredo Stroessner's remains
Mr Gonzalez's group are the political descendants of General Alfredo Stroessner, Paraguay's dictator for 35 years until 1989.
Gen Stroessner is buried in Brazil, where he died in exile in 2006.
BBC: Row over Paraguay dictator Alfredo Stroessner's remains
He was a senior official under General Alfredo Stroessner, Paraguay's dictator from 1953 until the army ousted him in 1989.
Gen Stroessner took refuge in Brasilia after he was deposed in a coup in 1989 carried out by another general, Andres Rodriguez.
BBC: Row over Paraguay dictator Alfredo Stroessner's remains
Less than a decade after emerging from the 35-year dictatorship of Alfredo Stroessner, Paraguay urgently needs to establish the rule of law.
Stroessner was "re-elected" eight consecutive times before being himself overthrown in a military coup in February 1989 and going into exile in Brazil.
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Activists and former political prisoners in Paraguay have staged a demonstration against a proposal to repatriate the remains of former military ruler Gen Alfredo Stroessner.
BBC: Row over Paraguay dictator Alfredo Stroessner's remains
Stroessner handed out vast tracts of state land to his cronies.
One of his grandsons, a senator also called Alfredo, said efforts were continuing to have Gen Stroessner's remains laid to rest in his country of birth.
BBC: Row over Paraguay dictator Alfredo Stroessner's remains
As an army colonel he played a prominent part in the uprising which overthrew Gen Alfredo Stroessner in 1989, delivering the news that he was under arrest.
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"It seems like we are returning to the time of Stroessner, when there were no real guarantees, " said Rodrigo Villagra, a leader of Paraguay's Co-ordinator of Human Rights.
Many Paraguayans admired Gen Stroessner for the stability he brought.
In his inaugural speech, Mr Cubas made a good impression on a country where democracy has struggled to put down roots since General Alfredo Stroessner's 35-year dictatorship ended in 1989.
Party colleagues described him as an "efficient" politician who advocated a fresh start for the Colorado Party, which had been an ally of military ruler Alfredo Stroessner, who ruled from 1954 to 1989.
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