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Note on the Descendent Theorem of Slepian, Moore, and Prange
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 639-642

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we prove the Descendent Theorem (2) of Slepian, Moore, and Prange in an abstract form. Our proof shows that the theorem is valid in much more general settings than that of vector spaces over Z/2Z. Applications of the descendent theorem to coding theory may be found in (2), and a study of Prange's method of proof is carried out by Dade in (1). 
Shatz, Stephen S. Note on the Descendent Theorem of Slepian, Moore, and Prange. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 639-642. doi: 10.4153/CJM-1966-064-5
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[1] 1. Dade, E. C., Coset leaders, Group Report 55G-0027; M.I.T. Lincoln Laboratory (Aug. 1960). Google Scholar

[2] 2. Prange, E., Step by step decoding for group codes, Communication Sciences Laboratory, Electronics Research Directorate, U.S.A.F. Research Division, Bedford, Mass. Google Scholar

[3] 3. Slepian, D., A class of binary signaling alphabets, Bell System Tech. J., 35 (1956), 203–234. Google Scholar

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