Question: 3. (a) Explain Why the LS below does not have an orthogonal mate. 1 2 3 4 2 1 4 3 3 4 2 1

 3. (a) Explain Why the LS below does not have an

3. (a) Explain Why the LS below does not have an orthogonal mate. 1 2 3 4 2 1 4 3 3 4 2 1 4 3 1 2 [2] (b) Obtain a symmetric halfidempotent LS from the LS in (a) by permuting rows and columns. [1] (c) Apply the Skolern's construction along with the LS in (b) to construct a STS of order 13. [3]

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