A reminiscence and survey of solutions to a JPL coding problem. (English) Zbl 0884.05091
Harper, Lawrence H. (ed.) et al., Harmonic analysis and nonlinear differential equations. A volume in honor of Victor L. Shapiro. Proceedings of a conference, Riverside, CA, USA, November 3–5, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 208, 181-196 (1997).
Author’s abstract: This paper is a survey of results on the problem of minimizing the “effects” of transmission errors when linearly ordered data is communicated over a binary symmetric channel. Of particular interest is the contrast between cases with exponent \(r=1\) or (infinity), where the solutions are purely combinatorial, and \(r=2\), where the solution involves dyadic harmonic analysis.
For the entire collection see [Zbl 0872.00037].
For the entire collection see [Zbl 0872.00037].
Reviewer: K.Engel (Rostock)
MSC:
| 05D05 | Extremal set theory |
| 05C78 | Graph labelling (graceful graphs, bandwidth, etc.) |
| 05E20 | Group actions on designs, etc. (MSC2000) |
| 43A99 | Abstract harmonic analysis |
