Information on Result #1316314
Linear OA(25654, 793, F256, 32) (dual of [793, 739, 33]-code), using 19 step Varšamov–Edel lengthening with (ri) = (1, 18 times 0) based on linear OA(25653, 773, F256, 32) (dual of [773, 720, 33]-code), using
- construction X applied to C([241,272]) ⊂ C([242,272]) [i] based on
- linear OA(25653, 771, F256, 32) (dual of [771, 718, 33]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {241,242,…,272}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(25651, 771, F256, 31) (dual of [771, 720, 32]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {242,243,…,272}, and designed minimum distance d ≥ |I|+1 = 32 [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
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(25654, 793, F256, 2, 32) (dual of [(793, 2), 1532, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25654, 793, F256, 3, 32) (dual of [(793, 3), 2325, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(25654, 793, F256, 4, 32) (dual of [(793, 4), 3118, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(25654, 793, F256, 5, 32) (dual of [(793, 5), 3911, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(25654, 793, F256, 6, 32) (dual of [(793, 6), 4704, 33]-NRT-code) | [i] | ||
| 6 | Digital (22, 54, 793)-net over F256 | [i] | ||