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Note 3 - Inventories and Major Vendors (Details Textual)	3 Months Ended
	Jan. 31, 2026	Jan. 31, 2025
Supplier Concentration Risk [Member] | Inventory Purchases [Member]
Number of Major Vendors	0	1

X

- Definition

Represents the number of major vendors accounting for 10% or more of the specified concentration risk benchmark.

+ References

No definition available.

+ Details

Name:	rfil_NumberOfMajorVendors
Namespace Prefix:	rfil_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_ConcentrationRiskByTypeAxis=us-gaap_SupplierConcentrationRiskMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_ConcentrationRiskByBenchmarkAxis=rfil_InventoryPurchasesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: