This paper examines codewords of length 2m in Z8 with envelope power maxima of 3 ∗ 2m. Using the general form for Golay pairs as a base, a general form is derived for the set of coset leaders that generate these codewords. From this general form it will be proven that there exists at least one element in the coset that achieves a power of 3 ∗ 2m for each m-even and m-odd case.
Katherine M. Nieswand and Kara N. Wagner. Octary Codewards with Power Envelopes of 3∗ 2m. Technical paper (TR-98-03). Math and Computer Science Technical Report Series. Richmond, Virginia: Department of Mathematics and Computer Science, University of Richmond, July, 1998.