Information on Result #684957
Linear OA(726, 2406, F7, 8) (dual of [2406, 2380, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(725, 2401, F7, 8) (dual of [2401, 2376, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(721, 2401, F7, 6) (dual of [2401, 2380, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(725, 2405, F7, 7) (dual of [2405, 2380, 8]-code) | [i] | Truncation | |
| 2 | Linear OOA(726, 1654, F7, 2, 8) (dual of [(1654, 2), 3282, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(726, 1654, F7, 3, 8) (dual of [(1654, 3), 4936, 9]-NRT-code) | [i] | ||
| 4 | Digital (18, 26, 1654)-net over F7 | [i] | ||
| 5 | Linear OOA(726, 1203, F7, 2, 8) (dual of [(1203, 2), 2380, 9]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(726, 802, F7, 3, 8) (dual of [(802, 3), 2380, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(726, 601, F7, 8, 8) (dual of [(601, 8), 4782, 9]-NRT-code) | [i] | OA Folding and Stacking | |