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Linpack: Why do we run with LDA greater than the problem size N?

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I am new to running Linpack.  From the extended help, I see:

The leading dimension must be no less than the number of equations. Experience has shown that the best performance for a given problem size is obtained when the leading dimension is set to the nearest odd multiple of 8 (16 for Intel(R) Itanium(R) 2 processors) equal to or larger than the number of equations (divisible by 8 but not by 16, or divisible by 16 but not 32 for Intel(R) Itanium(R) 2 processors).

Can someone explain to me why this is the case?  Thanks!

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