Information on Result #1313221
Linear OA(981, 831, F9, 29) (dual of [831, 750, 30]-code), using 94 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 11 times 0, 1, 28 times 0, 1, 48 times 0) based on linear OA(976, 732, F9, 29) (dual of [732, 656, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(976, 729, F9, 29) (dual of [729, 653, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(973, 729, F9, 28) (dual of [729, 656, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(981, 831, F9, 2, 29) (dual of [(831, 2), 1581, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(981, 831, F9, 3, 29) (dual of [(831, 3), 2412, 30]-NRT-code) | [i] | ||
| 3 | Digital (52, 81, 831)-net over F9 | [i] | ||
| 4 | Linear OOA(981, 415, F9, 2, 29) (dual of [(415, 2), 749, 30]-NRT-code) | [i] | OOA Folding | |