The 19-year-old Bennacer won his first cap for Algeria last year in Nations Cup qualification and is yet to make a league debut for the Gunners.
Bologna midfielder Taider, 24, hurt his knee in training earlier this week.
Defender Ramy Bensebaini is recovering from a knee injury suffered in Algeria's warm-up win over Mauritania on Tuesday, the federation added.
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Algeria play their opening Group B match in Franceville on Sunday against Zimbabwe.
(Reporting by Mark Gleeson; Editing by Amlan Chakraborty)
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