Information on Result #684948
Linear OA(757, 2405, F7, 17) (dual of [2405, 2348, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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 OA(760, 2417, F7, 17) (dual of [2417, 2357, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(761, 2437, F7, 17) (dual of [2437, 2376, 18]-code) | [i] | ||
| 3 | Linear OA(762, 2485, F7, 17) (dual of [2485, 2423, 18]-code) | [i] | ||
| 4 | Linear OA(763, 2593, F7, 17) (dual of [2593, 2530, 18]-code) | [i] | ||
| 5 | Linear OA(764, 2796, F7, 17) (dual of [2796, 2732, 18]-code) | [i] | ||
| 6 | Linear OA(765, 3101, F7, 17) (dual of [3101, 3036, 18]-code) | [i] | ||
| 7 | Linear OOA(757, 1202, F7, 2, 17) (dual of [(1202, 2), 2347, 18]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(757, 801, F7, 3, 17) (dual of [(801, 3), 2346, 18]-NRT-code) | [i] | ||