The newspaper quoted the IAAF as saying on Friday that Russia allegedly failed to do enough in order "to restore global confidence in the integrity of its athletes."
The New York Times said that the International Olympic Committee (IOC) is due to discuss the matter next week, saying that it "would be an unusual move" for IOC officials to amend the ruling against Russia.
Russia Sports Ministry says "extremely disappointed" by IAAF decision to uphold ban on its athletes, felt it had met conditions for re-entry— Steve Rosenberg (@BBCSteveR) 17 июня 2016 г.
The newspaper recalled that Russia managed to win a total of 18 medals in track and field, including eight golds, during the last Summer Olympics in London.
"But when the Rio Games begin on Aug. 5, no track and field athletes will compete under the Russian flag. Not even East Germany, which conducted a notorious doping scheme throughout the 1960s, '70s and 80s, faced such a penalty," it said.
The newspaper quoted Stephanie Hightower, the president of US Track and Field, as saying that "we do not believe that every Russian athlete cheated."
"It is unfortunate and regrettable that some may pay a penalty for the serious transgressions of their federation," she said.
Referring to the Rio Games, the New York Times said that sending only those Russian athletes who have not been subjected to doping-related disciplinary action and petitioning to compete for a neutral team is "a policy that could prove controversial."
Ok. So they will have to be tested by a reputable system outside of Russia, bit happier with that, only a bit! https://t.co/cBKH5gFooc— Nathan Douglas (@NathanJDouglas) 17 июня 2016 г.
The newspaper also specifically pointed to the fact that "in general, nations have been barred from the Olympics because of geopolitical considerations, not doping."
RUS athlete training and being tested outside Russia may be eligible for Rio?— Richard Ings (@ringsau) 17 июня 2016 г.
Kenya? Morocco? Spain? Etc
It's more than Russia
As an example, the newspaper mentioned nations which were banned from the games following their loss in both world wars.
Also, the New York Times singled out South Africa, which was kept out of the Olympics from 1964 to 1988 because of its apartheid policies, and Yugoslavia, which was barred from entering team events in 1992 following UN penalties over the war in the Balkans.
I still believe that most athletes are clean- but no way to ever really prove it https://t.co/p9ziQ5E7VV— Elana Meyers Taylor (@eamslider24) 17 июня 2016 г.
On Friday, the IAAF announced a decision to uphold a ban on the Russian Athletics Federation, based on allegations that a number of Russian coaches and athletes do not follow anti-doping rules.
Following the release of the film, the World Anti-Doping Agency (WADA) launched an investigation into the allegations of doping abuse in Russian sports.
In November 2015, WADA's Independent Commission issued a report accusing Russia of numerous breaches of global anti-doping regulations. The IAAF temporarily suspended the Russian Athletic Federation's membership as a result.