Information on Result #1311742
Linear OA(789, 2457, F7, 25) (dual of [2457, 2368, 26]-code), using 48 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 11 times 0, 1, 31 times 0) based on linear OA(785, 2405, F7, 25) (dual of [2405, 2320, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(785, 2401, F7, 25) (dual of [2401, 2316, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(789, 2457, F7, 2, 25) (dual of [(2457, 2), 4825, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(789, 2457, F7, 3, 25) (dual of [(2457, 3), 7282, 26]-NRT-code) | [i] | ||
| 3 | Digital (64, 89, 2457)-net over F7 | [i] | ||
| 4 | Linear OOA(789, 1228, F7, 2, 25) (dual of [(1228, 2), 2367, 26]-NRT-code) | [i] | OOA Folding | |