lower bound: | 16 |
upper bound: | 17 |
Construction of a linear code [33,9,16] over GF(3): [1]: [35, 9, 18] Linear Code over GF(3) Code found by Axel Kohnert and Johannes Zwanzger Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1 ] [ 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0 ] [ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0 ] [2]: [33, 9, 16] Linear Code over GF(3) Puncturing of [1] at { 34 .. 35 } last modified: 2008-07-14
Lb(33,9) = 15 is found by taking a subcode of: Lb(33,10) = 15 GB4 Ub(33,9) = 17 follows by a one-step Griesmer bound from: Ub(15,8) = 5 vE2
vE2: M. van Eupen, Four nonexistence results for ternary linear codes, IEEE Trans. Inform. Theory 41 (1995) 800-805.
Notes
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