Information on Result #684963
Linear OA(798, 2410, F7, 28) (dual of [2410, 2312, 29]-code), using construction X applied to Ce(28) ⊂ Ce(25) 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(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(71, 9, F7, 1) (dual of [9, 8, 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 OOA(798, 2410, F7, 2, 28) (dual of [(2410, 2), 4722, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(798, 2410, F7, 3, 28) (dual of [(2410, 3), 7132, 29]-NRT-code) | [i] | ||
| 3 | Digital (70, 98, 2410)-net over F7 | [i] | ||
| 4 | Linear OOA(798, 1205, F7, 2, 28) (dual of [(1205, 2), 2312, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(798, 803, F7, 3, 28) (dual of [(803, 3), 2311, 29]-NRT-code) | [i] | ||