Information on Result #1316304
Linear OA(25646, 792, F256, 27) (dual of [792, 746, 28]-code), using 16 step Varšamov–Edel lengthening with (ri) = (1, 15 times 0) based on linear OA(25645, 775, F256, 27) (dual of [775, 730, 28]-code), using
- construction XX applied to C1 = C([245,270]), C2 = C([244,269]), C3 = C1 + C2 = C([245,269]), and C∩ = C1 ∩ C2 = C([244,270]) [i] based on
- linear OA(25643, 771, F256, 26) (dual of [771, 728, 27]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {245,246,…,270}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(25643, 771, F256, 26) (dual of [771, 728, 27]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {244,245,…,269}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(25645, 771, F256, 27) (dual of [771, 726, 28]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {244,245,…,270}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25641, 771, F256, 25) (dual of [771, 730, 26]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {245,246,…,269}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code) (see above)
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(25646, 792, F256, 2, 27) (dual of [(792, 2), 1538, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25646, 792, F256, 3, 27) (dual of [(792, 3), 2330, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(25646, 792, F256, 4, 27) (dual of [(792, 4), 3122, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(25646, 792, F256, 5, 27) (dual of [(792, 5), 3914, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(25646, 792, F256, 6, 27) (dual of [(792, 6), 4706, 28]-NRT-code) | [i] | ||
| 6 | Digital (19, 46, 792)-net over F256 | [i] | ||