Information on Result #730352
Linear OA(8135, 660, F81, 19) (dual of [660, 625, 20]-code), using construction XX applied to C1 = C([33,50]), C2 = C([32,49]), C3 = C1 + C2 = C([33,49]), and C∩ = C1 ∩ C2 = C([32,50]) based on
- linear OA(8133, 656, F81, 18) (dual of [656, 623, 19]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {33,34,…,50}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8133, 656, F81, 18) (dual of [656, 623, 19]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {32,33,…,49}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8135, 656, F81, 19) (dual of [656, 621, 20]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {32,33,…,50}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8131, 656, F81, 17) (dual of [656, 625, 18]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {33,34,…,49}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8135, 330, F81, 2, 19) (dual of [(330, 2), 625, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8135, 220, F81, 3, 19) (dual of [(220, 3), 625, 20]-NRT-code) | [i] | ||