Information on Result #622000
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 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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(387, 94, F3, 51) (dual of [94, 7, 52]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(3202, 209, F3, 127) (dual of [209, 7, 128]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(3208, 215, F3, 133) (dual of [215, 7, 134]-code) | [i] | ||