Information on Result #684936
Linear OA(798, 2406, F7, 29) (dual of [2406, 2308, 30]-code), using construction X applied to Ce(28) ⊂ Ce(26) based on
- linear OA(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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 OA(797, 2405, F7, 28) (dual of [2405, 2308, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(798, 1962, F7, 2, 29) (dual of [(1962, 2), 3826, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(798, 1962, F7, 3, 29) (dual of [(1962, 3), 5788, 30]-NRT-code) | [i] | ||
| 4 | Digital (69, 98, 1962)-net over F7 | [i] | ||
| 5 | Linear OA(7101, 2424, F7, 29) (dual of [2424, 2323, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(7102, 2454, F7, 29) (dual of [2454, 2352, 30]-code) | [i] | ||
| 7 | Linear OOA(798, 1203, F7, 2, 29) (dual of [(1203, 2), 2308, 30]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(798, 802, F7, 3, 29) (dual of [(802, 3), 2308, 30]-NRT-code) | [i] | ||