## DIMACS TR: 93-49

## The Nordstrom-Robinson Code is the Binary Image of the Octacode

### Authors: G. David Forney, Jr., N. J. A. Sloane, Mitchell D. Trott

**
ABSTRACT
**

The Nordstrom-Robinson code, a nonlinear binary code of length 16
and minimal Hamming distance 6, is the binary image of
the octacode, a linear self-dual code over Z sub 4 of length 8
and minimal Lee distance 6. Since the octacode is the Z sub 4-analogue
of a Hamming code, this provides an extremely simple definition of
the Nordstrom-Robinson code.

Paper available at:
ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1993/93-49.ps

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