Dense Sphere Packings from New Codes
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Description: A table with the largest densities of sphere packings known to us in dimensions up to 200.
Dense sphere packings from new codes Dense sphere packings from new codes Journal of Algebraic Combinatorics, The idea behind the coset code construction is to reduce the construction of sphere packings to error-correcting codes in a unified way. We give here a short self-contained description of this method. In recent papers we constructed a large number of new binary, ternary and quaternary linear error-correcting codes. We present a table with the largest densities of sphere packings known to us in dimensions up to 200. In many dimensions our new codes yield improvements. Recently Vardy has found a construction, which yields record densities in dimensions 20,27,28,29 and 30. We give a short description of his method using the language of coset codes. Moreover we are able to apply this method in dimension 18 as well, producing a sphere packing with a record center density of (3/4)
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| Page title: | Dense sphere packings from new codes |
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| Date | Changed: 2013-06-18T17:33:06+02:00 Changed: 2013-06-18T17:29:05+02:00 Changed: 2013-06-18T17:29:05+02:00 |