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Combinatorics

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Perfect Codes

COMBIN-JZKGNS

Which of the following code(s) have the parameters of a perfect code?

Select ALL that apply.

A

A binary $[10,5,4]$ code

B

A binary $[15,11,3]$ code

C

A ternary $[11,6,5]$ code

D

A code over $GF(5)$ with parameters $[31,28,3]_5$

E

A binary $[24,12,8]$ code