A Note on the Leech Lattice as a Code for the Gaussian Channel
نویسنده
چکیده
The Leech lattice A is a very dense packing of spheres in 24-dimensional Euclidean space, discovered by Leech (1967). Its automorphism group was determined by Conway (1969), and its usefulness as a source of codes for the Gaussian channel was studied by Blake (1971). The present note contains some comments on and corrections to the latter paper. Both Leech (1967) and Conway (1969) use essentially the same definition of A. This can be stated succinctly using the binary Golay code g24 of length 24 and minimum Hamming distance 8: A consists of those points in real 24dimensional space R 24 with coordinates
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ورودعنوان ژورنال:
- Information and Control
دوره 19 شماره
صفحات -
تاریخ انتشار 1971