Information on Result #658584
Linear OA(990, 94, F9, 80) (dual of [94, 4, 81]-code), using construction X applied to C1 ⊂ C2 with C1 a [82,1,81]-code based on
- linear OA(978, 82, F9, 71) (dual of [82, 4, 72]-code), using projective code from ovoid in PG(3, 9) [i]
- linear OA(99, 12, F9, 8) (dual of [12, 3, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-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(989, 93, F9, 79) (dual of [93, 4, 80]-code) | [i] | Truncation | |
| 2 | Linear OA(981, 85, F9, 71) (dual of [85, 4, 72]-code) | [i] | ||
| 3 | Linear OA(980, 84, F9, 70) (dual of [84, 4, 71]-code) | [i] | ||
| 4 | Linear OA(979, 83, F9, 69) (dual of [83, 4, 70]-code) | [i] | ||
| 5 | Linear OA(977, 81, F9, 67) (dual of [81, 4, 68]-code) | [i] | ||
| 6 | Linear OA(975, 79, F9, 65) (dual of [79, 4, 66]-code) | [i] | ||
| 7 | Linear OA(974, 78, F9, 64) (dual of [78, 4, 65]-code) | [i] | ||
| 8 | Linear OA(973, 77, F9, 63) (dual of [77, 4, 64]-code) | [i] | ||
| 9 | Linear OOA(990, 47, F9, 2, 80) (dual of [(47, 2), 4, 81]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(990, 31, F9, 3, 80) (dual of [(31, 3), 3, 81]-NRT-code) | [i] | ||