Information on Result #671927
Linear OA(3208, 215, F3, 133) (dual of [215, 7, 134]-code), using juxtaposition based on
- linear OA(340, 47, F3, 25) (dual of [47, 7, 26]-code), using
- construction XX applied to C1, D2, C2 = C1 ∩ D2, and D1 = C1 + D2 [i] based on
- linear OA(334, 40, F3, 23) (dual of [40, 6, 24]-code), using code C1 for u = 4 by de Boer and Brouwer [i]
- linear OA(337, 40, F3, 24) (dual of [40, 3, 25]-code), using augmented code D2 for u = 4 by de Boer and Brouwer [i]
- linear OA(338, 40, F3, 29) (dual of [40, 2, 30]-code), using code C2 for u = 4 by de Boer and Brouwer [i]
- linear OA(333, 40, F3, 21) (dual of [40, 7, 22]-code), using augmented code D1 for u = 4 by de Boer and Brouwer [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction XX applied to C1, D2, C2 = C1 ∩ D2, and D1 = C1 + D2 [i] based on
- linear OA(3161, 168, F3, 107) (dual of [168, 7, 108]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(350, 56, F3, 35) (dual of [56, 6, 36]-code), using
- linear OA(355, 56, F3, 53) (dual of [56, 1, 54]-code), using
- strength reduction [i] based on linear OA(355, 56, F3, 55) (dual of [56, 1, 56]-code or 56-arc in PG(54,3)), using
- dual of repetition code with length 56 [i]
- strength reduction [i] based on linear OA(355, 56, F3, 55) (dual of [56, 1, 56]-code or 56-arc in PG(54,3)), using
- linear OA(356, 56, F3, 56) (dual of [56, 0, 57]-code or 56-arc in PG(55,3)), using
- (u, u−v, u+v+w)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.