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Note on the Descendent Theorem of Slepian, Moore, and Prange

Published online by Cambridge University Press:  20 November 2018

Stephen S. Shatz
Stephen S. Shatz*
Affiliation:
University of Pennsylvania, Philadelphia, Pa.
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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).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 639 - 642
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Dade, E. C., Coset leaders, Group Report 55G-0027; M.I.T. Lincoln Laboratory (Aug. 1960).Google Scholar
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. Slepian, D., A class of binary signaling alphabets, Bell System Tech. J., 35 (1956), 203–234.Google Scholar