Question: Show that no linear equidistant ternary code C which is 2-error correcting and has dimension 4, length 10 can exist. [Hint: Imagine the code to

Show that no linear equidistant ternary code C which is 2-error correcting and has dimension 4, length 10 can exist.

[Hint: Imagine the code to be written out as an 81 x 10 array and, using Theorem 5.4 count the total number of non-zeros in the whole code in two ways.]

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