lower bound: | 25 |
upper bound: | 25 |
Construction of a linear code [42,6,25] over GF(3): [1]: [44, 6, 27] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2 ] [ 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0 ] [ 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1 ] [ 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1 ] [ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] [2]: [42, 6, 25] Linear Code over GF(3) Puncturing of [1] at { 43 .. 44 } last modified: 2001-12-17
Lb(42,6) = 25 is found by truncation of: Lb(44,6) = 27 Bo1 Ub(42,6) = 25 is found by considering shortening to: Ub(41,5) = 25 is found by considering truncation to: Ub(40,5) = 24 vE1
vE1: M. van Eupen, Some new results for ternary linear codes of dimension $5$ and $6$, IEEE Trans. Inform. Theory 41 (1995) 2048-2051.
Notes
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