You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Composition of Four-Symbol δ-Codes and Hadamard Matrices
C. H. Yang
Proceedings of the American Mathematical Society
Vol. 107, No. 3 (Nov., 1989), pp. 763-776
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2048177
Page Count: 14
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
It is shown that key instruments for composition of four-symbol δ-codes are the Lagrange identity for polynomials, a certain type of quasi-symmetric sequences (i.e., a set of normal or near normal sequences) and base sequences. The following is proved: If a set of base sequences for length t and a set of normal (or near normal) sequences for length n exist then four-symbol δ-codes of length (2n + 1)t (or nt) can be composed by application of the Lagrange identity. Consequently a new infinite family of Hadamard matrices of order 4uw can be constructed, where w is the order of Williamson matrices and u = (2n + 1)t (or nt). Other related topics are also discussed.
Proceedings of the American Mathematical Society © 1989 American Mathematical Society