Information on Result #1311779
Linear OA(799, 2919, F7, 27) (dual of [2919, 2820, 28]-code), using 508 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 33 times 0, 1, 100 times 0, 1, 165 times 0, 1, 200 times 0) based on linear OA(793, 2405, F7, 27) (dual of [2405, 2312, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(793, 2401, F7, 27) (dual of [2401, 2308, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(789, 2401, F7, 26) (dual of [2401, 2312, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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(799, 2919, F7, 2, 27) (dual of [(2919, 2), 5739, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(799, 2919, F7, 3, 27) (dual of [(2919, 3), 8658, 28]-NRT-code) | [i] | ||
| 3 | Digital (72, 99, 2919)-net over F7 | [i] | ||
| 4 | Linear OOA(799, 1459, F7, 2, 27) (dual of [(1459, 2), 2819, 28]-NRT-code) | [i] | OOA Folding | |