Information on Result #622084
Linear OA(761, 67, F7, 48) (dual of [67, 6, 49]-code), using construction X applied to C1 ⊂ C0 based on
- linear OA(754, 57, F7, 48) (dual of [57, 3, 49]-code), using code C1 for u = 3 by de Boer and Brouwer [i]
- linear OA(751, 57, F7, 41) (dual of [57, 6, 42]-code), using code C0 for u = 3 by de Boer and Brouwer [i]
- linear OA(77, 10, F7, 6) (dual of [10, 3, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 14, F7, 6) (dual of [14, 7, 7]-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(761, 67, F7, 47) (dual of [67, 6, 48]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(762, 68, F7, 48) (dual of [68, 6, 49]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(760, 66, F7, 47) (dual of [66, 6, 48]-code) | [i] | Truncation | |
| 4 | Linear OA(758, 64, F7, 45) (dual of [64, 6, 46]-code) | [i] | ||
| 5 | Linear OA(757, 63, F7, 44) (dual of [63, 6, 45]-code) | [i] | ||
| 6 | Linear OOA(761, 33, F7, 2, 48) (dual of [(33, 2), 5, 49]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(761, 22, F7, 3, 48) (dual of [(22, 3), 5, 49]-NRT-code) | [i] | ||