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# On the covering radii of extremal doubly even self-dual codes

• In this note, we study the covering radii of extremal doubly even self-dual codes. We give slightly improved lower bounds on the covering radii of extremal doubly even self-dual codes of lengths 64, 80 and 96. The covering radii of some known extremal doubly even self-dual [64, 32, 12] codes are determined.
Mathematics Subject Classification: Primary: 94B05; Secondary: 94B75.

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