Debt instrument available in minimum draws.

No definition available.

Name:	cdak_DebtInstrumentAvailableInMinimumDraws
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Debt instrument basis spread reduced on variable rate.

+ References

No definition available.

+ Details

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Balance Type:	na
Period Type:	duration

- Definition

Debt instrument, covenants, obligated to maintain account cover amount percentage.

+ References

No definition available.

+ Details

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Balance Type:	na
Period Type:	duration

- Definition

Debt instrument, end of term payment charge on funded amount percentage.

+ References

No definition available.

+ Details

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Data Type:	dtr-types:percentItemType
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Period Type:	duration

- Definition

Debt instrument, interest only payment end date.

+ References

No definition available.

+ Details

Name:	cdak_DebtInstrumentInterestOnlyPaymentEndDate
Namespace Prefix:	cdak_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Debt instrument interest only payment extendable end date

+ References

No definition available.

+ Details

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Namespace Prefix:	cdak_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Debt instrument, number of tranches.

+ References

No definition available.

+ Details

Name:	cdak_DebtInstrumentNumberOfTranches
Namespace Prefix:	cdak_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Percentage points added to the reference rate to compute the variable rate on the debt instrument.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Face (par) amount of debt instrument at time of issuance.

+ References

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+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Description of the interest rate as being fixed or variable, and, if variable, identification of the index or rate on which the interest rate is based and the number of points or percentage added to that index or rate to set the rate, and other pertinent information, such as frequency of rate resets.

+ References

+ Details

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Balance Type:	na
Period Type:	duration

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Date when the debt instrument is scheduled to be fully repaid, in YYYY-MM-DD format.

+ References

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of the cost of borrowed funds accounted for as interest expense.

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of the total principal payments made during the annual reporting period.

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The effective interest rate during the reporting period.

+ References

+ Details

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Data Type:	dtr-types:percentItemType
Balance Type:	na
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- Definition

The carrying value as of the balance sheet date of the noncurrent portion of long-term obligations drawn from a line of credit, which is a bank's commitment to make loans up to a specific amount. Examples of items that might be included in the application of this element may consist of letters of credit, standby letters of credit, and revolving credit arrangements, under which borrowings can be made up to a maximum amount as of any point in time conditional on satisfaction of specified terms before, as of and after the date of drawdowns on the line. Includes short-term obligations that would normally be classified as current liabilities but for which (a) postbalance sheet date issuance of a long term obligation to refinance the short term obligation on a long term basis, or (b) the enterprise has entered into a financing agreement that clearly permits the enterprise to refinance the short-term obligation on a long term basis and the following conditions are met (1) the agreement does not expire within 1 year and is not cancelable by the lender except for violation of an objectively determinable provision, (2) no violation exists at the BS date, and (3) the lender has entered into the financing agreement is expected to be financially capable of honoring the agreement.

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

The cash inflow from a debt initially having maturity due after one year or beyond the operating cycle, if longer.

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

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Namespace Prefix:
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Balance Type:
Period Type:

- Details

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Balance Type:
Period Type:

- Details

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Balance Type:
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- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
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Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=cdak_SecondTrancheMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Namespace Prefix:
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Balance Type:
Period Type:

- Details

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Namespace Prefix:
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Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=cdak_FourthTrancheMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=cdak_AmendedLoanAndSecurityAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=cdak_AmendedTermLoanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=us-gaap_PrimeRateMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Indebtedness - Additional Information (Details)				3 Months Ended
Indebtedness - Additional Information (Details)	Sep. 17, 2021 USD ($)	Jul. 24, 2020 USD ($)	Sep. 30, 2019 USD ($) Tranche	Mar. 31, 2022 USD ($)	Sep. 30, 2021 USD ($)	Mar. 31, 2021 USD ($)	Dec. 31, 2021 USD ($)	Sep. 16, 2021 USD ($)
Debt Instrument [Line Items]
Interest expense				$ 600,000		$ 698,000
Loan Agreement \| Term Loan \| Hercules
Debt Instrument [Line Items]
Aggregate principal amount								$ 75,000,000.0
Number of tranches \| Tranche			4
Advanced amount under term loan			$ 25,000,000.0
Debt instrument, interest only payment end date			Nov. 01, 2022
Debt instrument repayment end date			Oct. 01, 2024
Debt instrument, end of term payment charge on funded amount percentage			5.50%
Loan carrying value		$ 15,000,000.0	$ 9,500,000	$ 25,500,000			$ 25,400,000
Loan Agreement \| Term Loan \| Hercules \| Maximum
Debt Instrument [Line Items]
Aggregate principal amount			75,000,000.0
Loan Agreement \| Term Loan \| Hercules \| Second Tranche
Debt Instrument [Line Items]
Aggregate principal amount			10,000,000.0
Loan Agreement \| Term Loan \| Hercules \| First Tranche
Debt Instrument [Line Items]
Advanced amount under term loan		$ 15,000,000.0	10,000,000.0
Amount payable upon any prepayment or repayment			1,400,000
Loan Agreement \| Term Loan \| Hercules \| Third Tranche
Debt Instrument [Line Items]
Aggregate principal amount			10,000,000.0
Loan Agreement \| Term Loan \| Hercules \| Fourth Tranche
Debt Instrument [Line Items]
Aggregate principal amount			$ 30,000,000.0
Amended Loan Agreement \| Term Loan \| Hercules
Debt Instrument [Line Items]
Debt instrument, covenants, obligated to maintain account cover amount percentage			110.00%
Interest expense					$ 600,000	$ 700,000
Amended Loan Agreement \| Term Loan \| Hercules \| Second Tranche
Debt Instrument [Line Items]
Interest rate			1.50%
Amended Loan Agreement \| Term Loan \| Hercules \| First Tranche
Debt Instrument [Line Items]
Interest rate			2.00%
Amended Loan Agreement \| Term Loan \| Hercules \| Third Tranche
Debt Instrument [Line Items]
Interest rate			1.00%
Amended Loan Agreement \| Amended Term Loan \| Hercules
Debt Instrument [Line Items]
Aggregate principal amount	$ 85,000,000.0
Debt instrument, interest rate terms				Advances under the Amended Term Loan Facility bear interest at a rate equal to the greater of (i) 8.25% plus the Prime Rate (as reported in The Wall Street Journal) less 3.25%, and (ii) 8.25%.
Interest rate	8.25%
Debt instrument, interest only payment end date	Oct. 01, 2023
Debt instrument, interest only payment extendable end date	Oct. 01, 2024
Debt instrument repayment end date	Oct. 01, 2025
Debt instrument, end of term payment charge on funded amount percentage	5.50%
Amended Loan Agreement \| Amended Term Loan \| Hercules \| Prime Rate
Debt Instrument [Line Items]
Variable interest rate	8.25%
Reduced from variable interest rate	3.25%
Amended Loan Agreement \| Amended Term Loan \| Hercules \| Third Tranche
Debt Instrument [Line Items]
Aggregate principal amount	$ 10,000,000.0
Amended Loan Agreement \| Amended Term Loan \| Hercules \| Fourth Tranche
Debt Instrument [Line Items]
Aggregate principal amount	30,000,000.0
Amended Loan Agreement \| Amended Term Loan \| Hercules \| Fifth Tranche
Debt Instrument [Line Items]
Debt instrument, available in minimum draws	5,000,000.0
Amended Loan Agreement \| Amended Term Loan \| Hercules \| Fifth Tranche \| Maximum
Debt Instrument [Line Items]
Aggregate principal amount	$ 20,000,000.0