The BBC Scotland news website looks back at the history of the Templeton Woods case.
Elizabeth McCabe was last seen alive leaving a nightclub in Dundee on Sunday 10 February, 1980.
The 20-year-old had been enjoying a night out with friends and had been to a number of bars in the city before going to a disco.
The nursery nurse, described as "quiet and unassuming", left about midnight, alone and possibly upset.
Her naked body was found by two dog walkers in Templeton Woods a fortnight later.
Gripped by fear
Alexander McGregor, author of The Law Killers, was a journalist in Dundee at the time.
He said: "There was always the feeling that Elizabeth McCabe, she was a quiet, intelligent girl.
"She would never have got into a car with a stranger so there was the feeling that when she left the nightclub, she either met someone she knew or she got into a taxi."
"Up to that point, Dundee was a fairly relaxed sort of place and young women leaving nightclubs would take lifts from strangers"
It was the second time in a year that a young woman's body had been found in the dense woodland.
Mr McGregor said it turned Dundee into a city gripped by fear that a serial killer was on the loose.
He said: "Up to that point, Dundee was a fairly relaxed sort of place and young women leaving nightclubs would take lifts from strangers.
"That stopped then and it has never been restarted.
"There was the kind of feeling that you've got two murders which have got great similarities, and perhaps there was a serial killer out there.
"There was a sense of fear that it's happened twice, it may happen again. It wasn't a comfortable feeling."
This was one of the most exhaustive inquiries police in Dundee had ever undertaken, but despite having a number of suspects, there was never enough evidence.
"What we've tried to do all along is do our best, cover all the angles we needed to cover, and complete all the lines of inquiry that we needed to complete"
In 2004, police were given another opportunity to review the case from scratch.
They completely retraced Elizabeth's steps, not just on the night she disappeared, but for a week beforehand.
Given the timescale, it was always going to be a difficult case - something the man leading the inquiry was well aware of.
Det Ch Insp Ewen West said: "It's about being straight-forward with people and not trying to give anyone any false promises.
"We said would give this investigation as good a shot as we possibly could, so that at the end of it, no matter how it finished, I could go back to Mrs McCabe and say we've done all we could possibly do.
"What we've tried to do all along is do our best, cover all the angles we needed to cover, and complete all the lines of inquiry that we needed to complete."
There now seems little hope of closure for the McCabe family, or for Templeton Woods to shed its association with unsolved murder.
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