Information on Result #622086
Linear OA(89, 12, F8, 8) (dual of [12, 3, 9]-code), using construction X applied to C1 ⊂ C0 based on
- linear OA(88, 9, F8, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,8)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(86, 9, F8, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,8)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(837, 40, F8, 32) (dual of [40, 3, 33]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(239, 48, F2, 17) (dual of [48, 9, 18]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OOA(263, 36, F2, 2, 35) (dual of [(36, 2), 9, 36]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 4 | Linear OOA(299, 36, F2, 3, 62) (dual of [(36, 3), 9, 63]-NRT-code) | [i] | ||
| 5 | Linear OOA(293, 33, F2, 3, 62) (dual of [(33, 3), 6, 63]-NRT-code) | [i] | ||
| 6 | Linear OA(8131, 32790, F8, 26) (dual of [32790, 32659, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(8132, 32792, F8, 26) (dual of [32792, 32660, 27]-code) | [i] | ||
| 8 | Linear OA(8126, 32790, F8, 25) (dual of [32790, 32664, 26]-code) | [i] | ||
| 9 | Linear OA(8168, 2097174, F8, 25) (dual of [2097174, 2097006, 26]-code) | [i] | ||
| 10 | Linear OA(875, 85, F8, 54) (dual of [85, 10, 55]-code) | [i] | Construction X with Cyclic Codes | |