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Liabilities for Employee Benefits, Net (Details) - Schedule of Liabilities for Employee Benefits, Net - USD ($) $ in Thousands | Dec. 31, 2023 | Dec. 31, 2022
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Schedule of Liabilities for Employee Benefits, Net [Abstract] |  |
Present value of defined benefit liabilities | $ 234 | $ 226
Less - fair value of plans’ assets | 204 | 194
Total | $ 30 | $ 32

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- Definition The present value, without deducting any plan assets, of expected future payments required to settle the obligation resulting from employee service in the current and prior periods. [Refer: Plan assets, at fair value] + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 19 -IssueDate 2023-01-01 -Paragraph 57 -Subparagraph a -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=19&code=ifrs-tx-2023-en-r&anchor=para_57_a&doctype=Standard -URIDate 2023-03-23 + Details
Name: | ifrs-full_DefinedBenefitObligationAtPresentValue
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition The amount of non-current provisions for employee benefits. [Refer: Provisions for employee benefits] + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 1 -IssueDate 2023-01-01 -Paragraph 78 -Subparagraph d -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2023-en-r&anchor=para_78_d&doctype=Standard -URIDate 2023-03-23 + Details
Name: | ifrs-full_NoncurrentProvisionsForEmployeeBenefits
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition The fair value of defined benefit plan assets. Plan assets comprise assets held by a long-term employee benefit fund and qualifying insurance policies. [Refer: At fair value [member]] + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 19 -IssueDate 2023-01-01 -Paragraph 57 -Subparagraph a -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=19&code=ifrs-tx-2023-en-r&anchor=para_57_a&doctype=Standard -URIDate 2023-03-23 + Details
Name: | ifrs-full_PlanAssetsAtFairValue
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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