Information on Result #2279288
Linear OA(7102, 2406, F7, 30) (dual of [2406, 2304, 31]-code), using 1 times code embedding in larger space based on linear OA(7101, 2405, F7, 30) (dual of [2405, 2304, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(7101, 2401, F7, 30) (dual of [2401, 2300, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(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: 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 OOA(7102, 2088, F7, 2, 30) (dual of [(2088, 2), 4074, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7102, 2088, F7, 3, 30) (dual of [(2088, 3), 6162, 31]-NRT-code) | [i] | ||
| 3 | Digital (72, 102, 2088)-net over F7 | [i] | ||
| 4 | Linear OOA(7102, 1203, F7, 2, 30) (dual of [(1203, 2), 2304, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7102, 802, F7, 3, 30) (dual of [(802, 3), 2304, 31]-NRT-code) | [i] | ||