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Codes with Parity Conditions on Subsets of CoordinatesBinary codes with the constraint that the codes restricted to certain subsets of columns must be contained in particular codes of the shorter lengths are considered. In particular, codes of even length 2k, and of minimum distance approximately greater than d, where in the code obtained by restricting to the first k positions has even weight and at the same time the code obtained by restricting to the last k positions also has even weight are considered. If k = 2n, n odd, and d = 2n, it is proved that the code has at most 8n - 4 codewords, and 8n - 4 is attainable for n = 3. This permits a file-transfer protocol control function assignment for personal computers to be chosen for 20 control functions using essentially just pairs of upper-case alphabetic ASCII characters where the Hamming distance between the binary forms of every two different control functions is at least six.
Document ID
19850010937
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Posner, E. C.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Reichstein, Z.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Date Acquired
August 12, 2013
Publication Date
February 15, 1985
Publication Information
Publication: The Telecommun. and Data Acquisition Rept.
Subject Category
Numerical Analysis
Accession Number
85N19247
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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