Certification Pursuant to Rule 30a-2(b) under the 1940 Act and Section 906 of the

Sarbanes-Oxley Act

I, William Ferri, Principal Executive Officer of A&Q Alternative Fixed-Income Strategies Fund LLC (the “Registrant”), certify that:

1. The Form N-CSR of the Registrant (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Registrant.

Date:    12-6-2016	/s/ William Ferri
	William Ferri, Principal Executive Officer

I, Dylan Germishuys, Principal Accounting Officer of A&Q Alternative Fixed-Income Strategies Fund LLC (the “Registrant”), certify that:

1. The Form N-CSR of the Registrant (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Registrant.

Date:    12-6-2016	/s/ Dylan Germishuys
	Dylan Germishuys, Principal Accounting Officer