Abstract
A class of binary signaling alphabets called “group alphabets” is described. The alphabets are generalizations of Hamming's error correcting codes and possess the following special features: (1) all letters are treated alike in transmission; (2) the encoding is simple to instrument; (3) maximum likelihood detection is relatively simple to instrument; and (4) in certain practical cases there exist no better alphabets. A compilation is given of group alphabets of length equal to or less than 10 binary digits.
Keywords
Binary numberClass (philosophy)Simple (philosophy)Encoding (memory)Hamming codeHamming distanceMathematicsArithmeticTransmission (telecommunications)Binary codeAlgorithmCombinatoricsComputer scienceDiscrete mathematicsBlock codeDecoding methodsArtificial intelligenceTelecommunications
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Publication Info
- Year
- 1956
- Type
- article
- Volume
- 35
- Issue
- 1
- Pages
- 203-234
- Citations
- 195
- Access
- Closed
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Cite This
D. Slepian
(1956).
A Class of Binary Signaling Alphabets.
Bell System Technical Journal
, 35
(1)
, 203-234.
https://doi.org/10.1002/j.1538-7305.1956.tb02379.x
Identifiers
- DOI
- 10.1002/j.1538-7305.1956.tb02379.x