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The Nordstrom-Robinson code is the binary image of the octacode. (English) Zbl 0804.94021
Calderbank, Robert (ed.) et al., Coding and quantization. DIMACS/IEEE workshop held at the Princeton University, NJ, USA, October 19-21, 1992. Providence, RI: American Mathematical Society. DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 14, 19-26 (1993).
Authors’ summary: 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 \(\mathbb{Z}_ 4\) of length 8 and minimal Lee distance 6. Since the octacode is the \(\mathbb{Z}_ 4\)-analogue of a Hamming code, this provides an extremely simple definition of the Nordstrom-Robinson code.
For the entire collection see [Zbl 0782.00053].

MSC:
94B60 Other types of codes
94B05 Linear codes (general theory)
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