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Equity (Details) - Schedule of Composition of Share Capital - shares | Dec. 31, 2023 | Dec. 31, 2022
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Schedule of Composition of Share Capital [Abstract] |  |
Authorized No. of shares | 20,000,000,000 | 20,000,000,000
Issued and paid-up No. of shares | 3,161,779,000 | 3,161,779,000

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- Definition The number of shares authorised. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 1 -IssueDate 2023-01-01 -Paragraph 79 -Subparagraph a -Clause i -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2023-en-r&anchor=para_79_a_i&doctype=Standard -URIDate 2023-03-23 + Details
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Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition The number of shares issued by the entity, for which full payment has been received. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 1 -IssueDate 2023-01-01 -Paragraph 79 -Subparagraph a -Clause ii -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2023-en-r&anchor=para_79_a_ii&doctype=Standard -URIDate 2023-03-23 + Details
Name: | ifrs-full_NumberOfSharesIssuedAndFullyPaid
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- References No definition available. + Details
Name: | synx_ScheduleOfCompositionOfShareCapitalAbstract
Namespace Prefix: | synx_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration