Abstract
The concept of a trellis and the proof of the optimality of the Viterbi algorithm grew out of early work at Codex Corporation, here published for the first time. A recently observed flaw in this proof is noted. Trellises for block codes and lattices are of current interest. An absolutely minimal trellis is exhibited for the E8 lattice. This trellis gives a succinct summary of the algebraic, geometrical, and dynamical structure of E8 and its sublattices.
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© 1994 Springer Science+Business Media New York
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Forney, G.D. (1994). Trellises Old and New. In: Blahut, R.E., Costello, D.J., Maurer, U., Mittelholzer, T. (eds) Communications and Cryptography. The Springer International Series in Engineering and Computer Science, vol 276. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2694-0_13
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DOI: https://doi.org/10.1007/978-1-4615-2694-0_13
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