Information on Result #621999
Linear OA(342, 49, F3, 26) (dual of [49, 7, 27]-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(33, 7, F3, 2) (dual of [7, 4, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), 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(3210, 217, F3, 134) (dual of [217, 7, 135]-code) | [i] | Juxtaposition | |