A former army chef jailed for life for the murder and rape of a schoolgirl in 1981 has had his "fanciful" application to appeal refused.
Tony Jasinskyj, 57, was sentenced in 2002 after his DNA was found on the clothing and the body of Marion Crofts.
He was stationed in Aldershot when he strangled the 14-year-old.
At London's Criminal Appeal Court, he argued the evidence which saw him convicted was flawed, but the judges ruled it was "entirely safe".
Jasinskyj, from Kegworth Avenue, Leicester, said there was an irregularity in the DNA profile.
Experts at his original trial at Winchester Crown Court explained that stray DNA from his victim had got mixed in with the sample.
Jasinskyj argued the anomaly suggested the attacker had a chromosome disorder, which exonerated him.
However, Mr Justice Phillips described this as "fanciful" and said his "fixation on an anomaly" did not explain the otherwise perfect DNA match.
The court heard Jasinskyj attacked Marion as she cycled by a canal in the town.
At the time he was a lance corporal, stationed in army married quarters with his pregnant wife less than a mile and a half away.
Marion was on her way to play clarinet at band practice from her home in Fleet when he raped and killed her, and then dumped her body in bushes.
Though he was questioned at the time, a DNA match was eventually made after a sample was taken from him in 2001, when he was arrested for an unconnected minor matter.
It was checked against the national DNA database and a match was found against the samples from the murder.
The court heard that the probability of somebody unrelated to Jasinskyj also having a DNA match was one in a billion.