Mark Cummings, who was murdered by a convicted sex offender

The justice minister said those who did not contribute to their rehabilitation and monitoring could not expect "a lifelong blanket of anonymity".

Cathy Jamieson also proposed giving the police new powers of search and entry to monitor sex offenders.

They would also have to give details of their bank accounts and credit cards.

The law was reviewed after the murder of eight-year-old Mark Cummings in Glasgow.

He was killed by convicted sex offender Stuart Leggate, who had moved into a neighbouring flat on his release from jail.

How many more children need to die? Margaret Cummings 'Weaknesses need to be tackled'

The murdered boy's mother, Margaret Ann Cummings, launched a campaign for the introduction of Mark's Law, which would require police and councils to tell people if a convicted sex offender was living in their area.

Mrs Cummings said communities should be informed when a sex offender was living in the area and she said the proposals did not go far enough.

"It's time the authorities, everybody, listened to the children," she said.

"Enough children have spoken out on what they want. How many more children need to die?"

Ms Jamieson commissioned an independent review of the sex offender registration scheme by Professor George Irving after Marks' death.

Passed on

The minister accepted most of his recommendations, including those on whether communities should be told when a sex offender was living in its midst.

"Previous expert groups have looked at this and concluded that such a move might hinder and not help the authorities to keep offenders in their sights," said Ms Jamieson.

"Professor Irving has backed that view but has called for a formal warning system to bring clarity and transparency to the process.

"I agree and intend to work with the police on creating a system to enable chief constables, on a case-by-case basis, to provide information on a sex offender's background or location to particular third parties, if they continue to ignore police warnings about their behaviour."

This information could be passed on to people like an employer or a landlord.

The other proposals include:

• Forcing sex offenders to give police a DNA sample if one was not given at the time of charge or conviction

• Requiring convicted sex offenders to provide the police with more personal information, including passport, bank account and credit card details

• Giving the police additional powers to enter and search a sex offender's home for risk assessment, monitoring or to check information

• Committing �150,000 to speed up the input of information into the national register of violent and sexual offenders (ViSOR).

The Association of Chief Police Officers in Scotland (Acpos) welcomed Professor Irving's report and said it was "heartened" by Ms Jamieson's commitments.

Scottish National Party justice spokesman Kenny MacAskill said the moves were long overdue.

Cathy Jamieson unveiled the proposals

"We need to see the detail, but in principle we will be giving them our full backing and requiring to ensure that they provide the appropriate resources that will be necessary to allow the police to do the job," he said.

However, Conservative justice spokeswoman Annabel Goldie said: "I think the current proposals are in danger of leading to the wholesale disclosure that people are apprehensive about, for very good reasons."

She also asked what those who received the information were meant to do with the "huge responsibility".

The new powers were described as "a dangerous move" by human rights activists.